Celebratio Mathematica

Ingrid Daubechies

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I. Daubech­ies: “An ap­plic­a­tion of hy­per­dif­fer­en­tial op­er­at­ors to holo­morph­ic quant­iz­a­tion,” Lett. Math. Phys. 2 : 6 (1977–1978), pp. 459–​469. MR 513112 Zbl 0446.​35082 article

D. Aerts and I. Daubech­ies: “About the struc­ture-pre­serving maps of a quantum mech­an­ic­al pro­pos­i­tion­al sys­tem,” Helv. Phys. Acta 51 : 5–​6 (1978), pp. 637–​660. MR 542797 article

D. Aerts and I. Daubech­ies: “Phys­ic­al jus­ti­fic­a­tion for us­ing the tensor product to de­scribe two quantum sys­tems as one joint sys­tem,” Helv. Phys. Acta 51 : 5–​6 (1978), pp. 661–​675. MR 542798 article

D. Aerts and I. Daubech­ies: “A char­ac­ter­iz­a­tion of sub­sys­tems in phys­ics,” Lett. Math. Phys. 3 : 1 (1979), pp. 11–​17. MR 527173 Zbl 0451.​03025 article

D. Aerts and I. Daubech­ies: “A math­em­at­ic­al con­di­tion for a sub­lat­tice of a pro­pos­i­tion­al sys­tem to rep­res­ent a phys­ic­al sub­sys­tem, with a phys­ic­al in­ter­pret­a­tion,” Lett. Math. Phys. 3 : 1 (1979), pp. 19–​27. MR 527174 Zbl 0451.​03026 article

D. Aerts and I. Daubech­ies: “A con­nec­tion between pro­pos­i­tion­al sys­tems in Hil­bert spaces and von Neu­mann al­geb­ras,” Helv. Phys. Acta 52 : 2 (1979), pp. 184–​199. MR 553688 article

I. C. Daubech­ies: Rep­res­ent­a­tion of quantum mech­an­ic­al op­er­at­ors by ker­nels on Hil­bert spaces of ana­lyt­ic func­tions. Ph.D. thesis, Vrije Uni­versiteit Brus­sel, 1980. Ad­vised by J. Reigni­er and A. Gross­mann. phdthesis

I. Daubech­ies: Weylk­wantisa­tie be­studeerd langs de ko­her­ente toes­t­anden om [Weyl quant­iz­a­tion stud­ied along the co­her­ent states], 1980. Con­test for Trav­el­ing Fel­low­ships of the Bel­gian Gov­ern­ment, 1980. misc

I. Daubech­ies: “Co­her­ent states and pro­ject­ive rep­res­ent­a­tion of the lin­ear ca­non­ic­al trans­form­a­tions,” J. Math. Phys. 21 : 6 (1980), pp. 1377–​1389. MR 574700 Zbl 0453.​22012 article

I. Daubech­ies and A. Gross­mann: “An in­teg­ral trans­form re­lated to quant­iz­a­tion,” J. Math. Phys. 21 : 8 (1980), pp. 2080–​2090. MR 579204 article

I. Daubech­ies: “On the dis­tri­bu­tions cor­res­pond­ing to bounded op­er­at­ors in the Weyl quant­iz­a­tion,” Comm. Math. Phys. 75 : 3 (1980), pp. 229–​238. MR 581947 Zbl 0451.​47059 article

J. R. Klaud­er and I. Daubech­ies: “Meas­ures for path in­teg­rals,” Phys. Rev. Lett. 48 : 3 (1982), pp. 117–​120. MR 639863 article

I. Daubech­ies and J. R. Klaud­er: “Con­struct­ing meas­ures for path in­teg­rals,” J. Math. Phys. 23 : 10 (1982), pp. 1806–​1822. MR 676020 article

J. R. Klaud­er and I. Daubech­ies: “Wien­er meas­ures for quantum mech­an­ic­al path in­teg­rals,” pp. 245–​247 in Stochast­ic pro­cesses in quantum the­ory and stat­ist­ic­al phys­ics (Mar­seille, France, 29 June–4 Ju­ly 1981). Edi­ted by S. Al­beverio, P. Combe, and M. Sirugue-Col­lin. Lec­ture Notes in Phys­ics 173. Spring­er (Ber­lin), 1982. Zbl 0496.​60066 incollection

I. Daubech­ies, A. Gross­mann, and J. Reigni­er: “An in­teg­ral trans­form re­lated to quant­iz­a­tion, II: Some math­em­at­ic­al prop­er­ties,” J. Math. Phys. 24 : 2 (1983), pp. 239–​254. MR 692298 article

I. Daubech­ies and J. R. Klaud­er: “Meas­ures for more quad­rat­ic path in­teg­rals,” Lett. Math. Phys. 7 : 3 (1983), pp. 229–​234. MR 706212 Zbl 0521.​60078 article

I. Daubech­ies: “Con­tinu­ity state­ments and coun­ter­in­tu­it­ive ex­amples in con­nec­tion with Weyl quant­iz­a­tion,” J. Math. Phys. 24 : 6 (1983), pp. 1453–​1461. MR 708664 Zbl 0541.​44001 article

I. Daubech­ies and E. H. Lieb: “One-elec­tron re­lativ­ist­ic mo­lecules with Cou­lomb in­ter­ac­tion,” Comm. Math. Phys. 90 : 4 (1983), pp. 497–​510. MR 719430 Zbl 0946.​81522 article

I. Daubech­ies: “An un­cer­tainty prin­ciple for fer­mi­ons with gen­er­al­ized kin­et­ic en­ergy,” Comm. Math. Phys. 90 : 4 (December 1983), pp. 511–​520. MR 719431 Zbl 0946.​81521 article

D. Aerts and I. Daubech­ies: “Simple proof that the struc­ture pre­serving maps between quantum mech­an­ic­al pro­pos­i­tion­al sys­tems con­serve the angles,” Helv. Phys. Acta 56 : 6 (1983), pp. 1187–​1190. MR 734581 article

I. Daubech­ies: Weylk­wantisa­tie be­studeerd via een in­teg­raal­trans­form­atie met be­hulp van het ko­her­en­te­toes­t­anden-form­al­isme [Weyl quant­iz­a­tion stud­ied via an in­teg­ral trans­form­a­tion us­ing the co­her­ent state form­al­ism], 1984. Pa­per awar­ded the 1984 Louis Em­pain Prize (Bel­gi­um) for Phys­ics, 1984. misc

I. Daubech­ies and J. R. Klaud­er: “Quantum-mech­an­ic­al path in­teg­rals with Wien­er meas­ure for all poly­no­mi­als Hamilto­ni­ans,” Phys. Rev. Lett. 52 : 14 (1984), pp. 1161–​1164. Part II was pub­lished in J. Math. Phys 26 (1985). MR 736821 article

I. Daubech­ies: “One-elec­tron mo­lecules with re­lativ­ist­ic kin­et­ic en­ergy: Prop­er­ties of the dis­crete spec­trum,” Comm. Math. Phys. 94 : 4 (1984), pp. 523–​535. MR 763750 article

I. Daubech­ies and E. H. Lieb: “Re­lativ­ist­ic mo­lecules with Cou­lomb in­ter­ac­tion,” pp. 143–​148 in Dif­fer­en­tial equa­tions (Birm­ing­ham, AL, 21–26 March 1983). Edi­ted by I. W. Knowles and R. T. Lewis. North-Hol­land Math­em­at­ics Stud­ies 92. North-Hol­land (Am­s­ter­dam), 1984. MR 799344 Zbl 0565.​35101 incollection

I. Daubech­ies and J. R. Klaud­er: “Quantum-mech­an­ic­al path in­teg­rals with Wien­er meas­ure for all poly­no­mi­als Hamilto­ni­ans, II,” J. Math. Phys. 26 (1985), pp. 2239–​2256. Part I was pub­lished in Phys. Rev. Lett. 52:14 (1984). MR 801118 Zbl 0979.​81517 article

I. Daubech­ies, A. Gross­mann, and Y. Mey­er: “Pain­less nonortho­gon­al ex­pan­sions,” J. Math. Phys. 27 (1986), pp. 1271–​1283. MR 836025 Zbl 0608.​46014 article

I. Daubech­ies and J. R. Klaud­er: “True meas­ures for real time path in­teg­rals,” pp. 425–​432 in Path in­teg­rals from meV to MeV (Biele­feld, Ger­many, 5–9 Au­gust 1985). Edi­ted by M. C. Gutzwiller, A. In­o­mata, J. R. Klaud­er, and L. Streit. Biele­feld En­coun­ters in Phys­ics and Math­em­at­ics 7. World Sci­entif­ic (Singa­pore), 1986. MR 859247 incollection

I. Daubech­ies and T. Paul: “Wave­lets: Some ap­plic­a­tions,” pp. 675–​686 in VIII in­ter­na­tion­al con­gress on math­em­at­ic­al phys­ics (Mar­seille, France, 16–26 Ju­ly 1987). Edi­ted by M. Meb­khout and R. Sénéor. World Sci­entif­ic (Singa­pore), 1987. incollection

I. Daubech­ies: “Dis­crete sets of co­her­ent states and their use in sig­nal ana­lys­is,” pp. 73–​82 in Dif­fer­en­tial equa­tions and math­em­at­ic­al phys­ics (Birm­ing­ham, AL, 3–8 March 1986). Edi­ted by I. W. Knowles and Y. Saito. Lec­ture Notes in Math­em­at­ics 1285. 1987. MR 921254 Zbl 0648.​41017 incollection

I. Daubech­ies, J. R. Klaud­er, and T. Paul: “Wien­er meas­ures for path in­teg­rals with af­fine kin­emat­ic vari­ables,” J. Math. Phys. 28 (1987), pp. 85–​102. Zbl 0615.​58008 article

I. Daubech­ies and A. Gross­mann: “Frames in the Bargmann space of en­tire func­tions,” Com­mun. Pure Ap­pl. Math. 41 : 2 (1988), pp. 151–​164. MR 924682 Zbl 0632.​30049 article

I. Daubech­ies: “Or­thonor­mal bases of com­pactly sup­por­ted wave­lets,” Com­mun. Pure Ap­pl. Math. 41 : 7 (October 1988), pp. 909–​996. Part II was pub­lished in Siam J. Math. Anal. 24:2 (1993), as was Part III. MR 951745 Zbl 0644.​42026 article

I. Daubech­ies and T. Paul: “Time-fre­quency loc­al­isa­tion op­er­at­ors–a geo­met­ric phase space ap­proach, II: The use of dila­tions,” In­verse Probl. 4 : 3 (1988), pp. 661–​680. Part I was pub­lished in IEEE Trans. Inf. The­ory 34:4 (1988). MR 965642 Zbl 0701.​42004 article

I. Daubech­ies: “Time-fre­quency loc­al­iz­a­tion op­er­at­ors: A geo­met­ric phase space ap­proach,” IEEE Trans. Inf. The­ory 34 : 4 (1988), pp. 605–​612. Part II was pub­lished in In­verse Probl. 4:3 (1988). MR 966733 Zbl 0672.​42007 article

I. Daubech­ies: “Wave­lets: A tool for time-fre­quency ana­lys­is,” pp. 98 in Sixth mul­ti­di­men­sion­al sig­nal pro­cessing work­shop (Pa­cific Grove, CA, 6–8 Septem­ber 1989). IEEE (Pis­cat­away, NJ), 1989. Ab­stract only. incollection

I. Daubech­ies: “Or­tho­gon­al bases of wave­lets with fi­nite sup­port: Con­nec­tion with dis­crete fil­ters,” pp. 38–​66 in Wave­lets: Time-fre­quency meth­ods and phase space (Mar­seille, France, 14–18 Decem­ber 1987). Edi­ted by J.-M. Combes, A. Gross­mann, and P. Tcham­it­chi­an. Spring­er (Ber­lin), 1989. Zbl 0850.​42013 incollection

M. Ant­onini, M. Bar­laud, P. Math­ieu, and I. Daubech­ies: “Im­age cod­ing us­ing vec­tor quant­iz­a­tion in the wave­let trans­form do­main,” pp. 2297–​2300 in In­ter­na­tion­al con­fer­ence on acous­tics, speech, and sig­nal pro­cessing (Al­buquerque, NM, 3–6 April 1990), vol. 4. IEEE (Pis­cat­away, NJ), 1990. incollection

I. Daubech­ies: “The wave­let trans­form, time-fre­quency loc­al­iz­a­tion and sig­nal ana­lys­is,” IEEE Trans. Inf. The­ory 36 : 5 (1990), pp. 961–​1005. MR 1066587 Zbl 0738.​94004 article

I. Daubech­ies: “The wave­let trans­form: A meth­od for time-fre­quency loc­al­iz­a­tion,” Chapter 8, pp. 366–​417 in Ad­vances in Spec­trum Ana­lys­is and Ar­ray Pro­cessing, vol. 1. Edi­ted by S. S. Haykin. Pren­tice-Hall Sig­nal Pro­cessing Series. Pren­tice-Hall (Engle­wood Cliffs, NJ), 1991. incollection

I. Daubech­ies, S. Jaf­fard, and J.-L. Journé: “A simple Wilson or­thonor­mal basis with ex­po­nen­tial de­cay,” SIAM J. Math. Anal. 22 : 2 (1991), pp. 554–​572. An er­rat­um to this art­icle was pub­lished in SIAM J. Math. Anal. 22:3 (1991). MR 1084973 Zbl 0754.​46016 article

I. Daubech­ies, S. Jaf­fard, and J.-L. Journé: “Er­rat­um: A simple Wilson or­thonor­mal basis with ex­po­nen­tial de­cay,” SIAM J. Math. Anal. 22 : 3 (1991), pp. 878. Er­rat­um to art­icle pub­lished in SIAM J. Math. Anal. 22:2 (1991). MR 1101314 Zbl 0794.​46008 article

I. Daubech­ies: “Phase space path in­teg­rals, co­her­ent states and Wien­er meas­ure,” pp. 157–​176 in Pro­ceed­ings of the joint Con­cor­dia–Sherbrooke sem­in­ar series on func­tion­al in­teg­ra­tion meth­ods in stochast­ic quantum mech­an­ics (Sherbrooke and Mon­tréal, QC, 18 Septem­ber–4 Decem­ber 1987). Sup­ple­mento Ren­diconti del Cir­colo Matem­atico di Palermo, II. Serie 25 25. Cir­colo Matem­atico di Palermo, 1991. MR 1108242 Zbl 0731.​60107 incollection

I. Daubech­ies and J. C. Lagari­as: “Two-scale dif­fer­ence equa­tions, I: Ex­ist­ence and glob­al reg­u­lar­ity of solu­tions,” SIAM J. Math. Anal. 22 : 5 (1991), pp. 1388–​1410. MR 1112515 Zbl 0763.​42018 article

M. Ant­onini, M. Bar­laud, P. Math­ieu, and I. Daubech­ies: “Im­age cod­ing us­ing wave­let trans­form,” IEEE Trans. Im­age Proc. 1 : 2 (April 1992), pp. 205–​220. article

I. Daubech­ies and J. R. Klaud­er: “Squeezed states and path in­teg­rals,” pp. 247–​259 in Work­shop on squeezed states and un­cer­tainty re­la­tions (Col­lege Park, MD, 28–30 March 1991). Edi­ted by D. Han, Y. S. Kim, and W. W. Zachary. NASA Con­fer­ence Pub­lic­a­tions 3135. NASA (Wash­ing­ton, DC), 1992. incollection

I. Daubech­ies and J. C. Lagari­as: “Sets of matrices all in­fin­ite products of which con­verge,” Lin­ear Al­gebra Ap­pl. 161 (January 1992), pp. 227–​263. A cor­ri­gendum/ad­dendum to this art­icle was pub­lished in Lin­ear Al­gebra Ap­pl. 327:1–3 (2007). MR 1142737 Zbl 0746.​15015 article

I. Daubech­ies: Ten lec­tures on wave­lets. CBMS-NSF Re­gion­al Con­fer­ence Series in Ap­plied Math­em­at­ics 61. SIAM (Phil­adelphia), 1992. A Rus­si­an trans­la­tion was pub­lished in 2001. MR 1162107 Zbl 0776.​42018 book

A. Co­hen, I. Daubech­ies, and J.-C. Feau­veau: “Biortho­gon­al bases of com­pactly sup­por­ted wave­lets,” Com­mun. Pure Ap­pl. Math. 45 : 5 (1992), pp. 485–​560. MR 1162365 Zbl 0776.​42020 article

I. Daubech­ies and J. C. Lagari­as: “Two-scale dif­fer­ence equa­tions, II: Loc­al reg­u­lar­ity, in­fin­ite products of matrices, and fractals,” SIAM J. Math. Anal. 23 : 4 (1992), pp. 1031–​1079. MR 1166574 Zbl 0788.​42013 article

A. Co­hen and I. Daubech­ies: “A sta­bil­ity cri­terion for biortho­gon­al wave­let bases and their re­lated sub­band cod­ing scheme,” Duke Math. J. 68 : 2 (November 1992), pp. 313–​335. MR 1191564 Zbl 0784.​42022 article

N. Moay­eri, I. Daubech­ies, Q. Song, and H. S. Wang: “Wave­let trans­form im­age cod­ing us­ing trel­lis coded vec­tor quant­iz­a­tion,” pp. 405–​408 in ICAS­SP-92 (San Fran­cisco, 23–26 March 1992), vol. 4. IEEE (Pis­cat­away, NJ), 1992. incollection

Wave­lets and their ap­plic­a­tions. Edi­ted by M. B. Ruskai, G. Beylkin, R. Coi­f­man, I. Daubech­ies, S. Mal­lat, Y. Mey­er, and L. Raphael. Jones and Bart­lett (Bo­ston, MA), 1992. Zbl 0782.​00087 book

I. Daubech­ies: “Or­thonor­mal bases of com­pactly sup­por­ted wave­lets, II: Vari­ations on a theme,” SIAM J. Math. Anal. 24 : 2 (1993), pp. 499–​519. Part I was pub­lished in Com­mun. Pure Ap­pl. Math. 41:7 (1988). MR 1205539 Zbl 0792.​42018 article

A. Co­hen and I. Daubech­ies: “Or­thonor­mal bases of com­pactly sup­por­ted wave­lets, III: Bet­ter fre­quency res­ol­u­tion,” SIAM J. Math. Anal. 24 : 2 (1993), pp. 520–​527. Part I was pub­lished in Com­mun. Pure Ap­pl. Math. 41:7 (1988). MR 1205540 Zbl 0792.​42019 article

A. Co­hen, I. Daubech­ies, B. Jawerth, and P. Vi­al: “Mul­tiresol­u­tion ana­lys­is, wave­lets and fast al­gorithms on an in­ter­val,” C. R. Acad. Sci., Par­is, Sér. I 316 : 5 (1993), pp. 417–​421. MR 1209259 Zbl 0768.​42015 article

I. Daubech­ies and A. J. E. M. Janssen: “Two the­or­ems on lat­tice ex­pan­sions,” IEEE Trans. Inf. The­ory 39 : 1 (1993), pp. 3–​6. MR 1211486 Zbl 0764.​42018 article

A. Co­hen and I. Daubech­ies: “Non-sep­ar­able bi­d­i­men­sion­al wave­let bases,” Rev. Mat. Iberoam. 9 : 1 (1993), pp. 51–​137. MR 1216125 Zbl 0792.​42021 article

I. Daubech­ies: Wave­lets mak­ing waves in math­em­at­ics and en­gin­eer­ing, 1993. 60 minute col­our video­tape (Amer­ic­an Math­em­at­ic­al So­ci­ety, Provid­ence, RI). MAA joint in­vited ad­dress, Bal­timore, MD, 9 Janu­ary 1992. MR 1228207 Zbl 0789.​42028 misc

A. Co­hen and I. Daubech­ies: “On the in­stabil­ity of ar­bit­rary biortho­gon­al wave­let pack­ets,” SIAM J. Math. Anal. 24 : 5 (1993), pp. 1340–​1354. MR 1234020 Zbl 0792.​42020 article

A. Co­hen, I. Daubech­ies, and P. Vi­al: “Wave­lets on the in­ter­val and fast wave­let trans­forms,” Ap­pl. Com­put. Har­mon. Anal. 1 : 1 (1993), pp. 54–​81. MR 1256527 Zbl 0795.​42018 article

Dif­fer­ent per­spect­ives on wave­lets (San Ant­o­nio, TX, 11–12 Janu­ary 1993). Edi­ted by I. Daubech­ies. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1993. MR 1267994 Zbl 0782.​00059 book

I. Daubech­ies: “Wave­let trans­forms and or­thonor­mal wave­let bases,” pp. 1–​33 in Dif­fer­ent per­spect­ives on wave­lets (San Ant­o­nio, TX, 11–12 Janu­ary 1993). Edi­ted by I. Daubech­ies. Pro­ceed­ings of Sym­po­sia in Ap­plied Math­em­at­ics 47. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1993. MR 1267995 Zbl 0802.​42025 incollection

I. Daubech­ies: “Wave­lets on the in­ter­val,” pp. 95–​107 in Pro­gress in wave­let ana­lys­is and ap­plic­a­tions: Pro­ceed­ings of the 3rd in­ter­na­tion­al con­fer­ence on wave­lets and ap­plic­a­tions (Toulouse, France, 8–13 June 1992). Edi­ted by Y. Mey­er and S. Roques. Edi­tions Frontières (Gif-sur-Yvette, France), 1993. MR 1282934 Zbl 0925.​42017 incollection

I. Daubech­ies: “Or­thonor­mal bases of co­her­ent states: The ca­non­ic­al case and the \( ax+b \)-group,” pp. 103–​117 in Co­her­ent states: Past, present, and fu­ture (Oak Ridge, TN, 14–17 June 1993). Edi­ted by D. H. Feng, J. R. Klaud­er, and M. R. Stray­er. World Sci­entif­ic (Singa­pore), 1994. incollection

I. Daubech­ies: “Two re­cent res­ults on wave­lets: Wave­let bases for the in­ter­val, and biortho­gon­al wave­lets di­ag­on­al­iz­ing the de­riv­at­ive op­er­at­or,” pp. 237–​257 in Re­cent ad­vances in wave­let ana­lys­is. Edi­ted by L. L. Schu­maker and G. Webb. Wave­let Ana­lys­is and its Ap­plic­a­tions 3. Aca­dem­ic Press (Bo­ston), 1994. MR 1244608 Zbl 0829.​42021 incollection

I. Daubech­ies and J. C. Lagari­as: “On the ther­mo­dy­nam­ic form­al­ism for mul­ti­fractal func­tions,” pp. 1033–​1070 in Spe­cial is­sue ded­ic­ated to El­li­ott H. Lieb, published as Rev. Math. Phys. 6 : 5A. Issue edi­ted by M. Aizen­man and H. Araki. World Sci­entif­ic (Singa­pore), 1994. Also pub­lished in The state of mat­ter (1994). MR 1301365 Zbl 0843.​58091 incollection

I. Daubech­ies and Y. Huang: “A de­cay the­or­em for re­fin­able func­tions,” Ap­pl. Math. Lett. 7 : 4 (July 1994), pp. 1–​4. MR 1350385 Zbl 0851.​42027 article

I. Daubech­ies: “Af­fine co­her­ent states and wave­lets,” pp. 35–​42 in On Klaud­er’s path: A field trip: Es­says in hon­or of John R. Klaud­er. Edi­ted by G. G. Emch, G. C. Heger­feldt, and L. Streit. World Sci­entif­ic (Singa­pore), 1994. MR 1350560 Zbl 0942.​81559 incollection

I. Daubech­ies and J. C. Lagari­as: “On the ther­mo­dy­nam­ic form­al­ism for mul­ti­fractal func­tions,” pp. 213–​264 in The state of mat­ter: A volume ded­ic­ated to E. H. Lieb (Copen­ha­gen, Ju­ly 1992). Edi­ted by M. Aizen­man and H. Araki. Ad­vanced Series in Math­em­at­ic­al Phys­ics 20. World Sci­entif­ic (Singa­pore), 1994. Also pub­lished in Rev. Math. Phys. 6:5A (1994). MR 1462145 incollection

I. Daubech­ies: “Wave­lets: An over­view, with re­cent ap­plic­a­tions,” pp. 5 in Pro­ceed­ings of 1995 IEEE in­ter­na­tion­al sym­posi­um on in­form­a­tion the­ory (Whist­ler, BC, 17–22 Septem­ber 1995). IEEE (Pis­cat­away, NJ), 1995. Ab­stract only. incollection

I. Daubech­ies and Y. Huang: “How does trun­ca­tion of the mask af­fect a re­fin­able func­tion?,” Con­str. Ap­prox. 11 : 3 (1995), pp. 365–​380. MR 1350674 Zbl 0874.​42025 article

I. Daubech­ies, H. J. Land­au, and Z. Land­au: “Gabor time-fre­quency lat­tices and the Wexler–Raz iden­tity,” J. Four­i­er Anal. Ap­pl. 1 : 4 (1995), pp. 437–​478. MR 1350701 Zbl 0888.​47018 article

I. Daubech­ies: “Wave­lets and oth­er phase space loc­al­iz­a­tion meth­ods,” pp. 57–​74 in Pro­ceed­ings of the In­ter­na­tion­al Con­gress of Math­em­aticians (Zürich, 3–11 Au­gust 1994), vol. 1. Edi­ted by S. D. Chat­terji. Birkhäuser (Ba­bel), 1995. MR 1403915 Zbl 0845.​42012 incollection

I. Daubech­ies: “Us­ing Fred­holm de­term­in­ants to es­tim­ate the smooth­ness of re­fin­able func­tions,” pp. 89–​112 in Ap­prox­im­a­tion the­ory VIII (Col­lege Sta­tion, TX, 8–12 Janu­ary 1995), vol. 2: Wave­lets and mul­ti­level ap­prox­im­a­tion. Edi­ted by C. K. Chui and L. L. Schu­maker. World Sci­entif­ic (Singa­pore), 1995. MR 1471776 Zbl 0927.​42016 incollection

I. Daubech­ies: “Bet­ter dual func­tions for Gabor time-fre­quency lat­tices,” pp. 113–​116 in Ap­prox­im­a­tion the­ory VIII (Col­lege Sta­tion, TX, 8–12 Janu­ary 1995), vol. 2: Wave­lets and mul­ti­level ap­prox­im­a­tion. Edi­ted by C. K. Chui and L. L. Schu­maker. World Sci­entif­ic (Singa­pore), 1995. MR 1471777 Zbl 0927.​42017 incollection

H. C. Von Baey­er: “Wave of the fu­ture,” Dis­cov­er (May 1995), pp. 68–​74. article

I. Daubech­ies: “Where do wave­lets come from? A per­son­al point of view,” Proc. IEEE 84 : 4 (April 1996), pp. 510–​513. article

A. Co­hen, I. Daubech­ies, and A. Ron: “How smooth is the smoothest func­tion in a giv­en re­fin­able space?,” Ap­pl. Com­put. Har­mon. Anal. 3 : 1 (January 1996), pp. 87–​89. MR 1374399 Zbl 0901.​46024 article

A. Co­hen and I. Daubech­ies: “A new tech­nique to es­tim­ate the reg­u­lar­ity of re­fin­able func­tions,” Rev. Mat. Iberoam. 12 : 2 (1996), pp. 527–​591. MR 1402677 Zbl 0879.​65102 article

I. Daubech­ies and S. Maes: “A non­lin­ear squeez­ing of the con­tinu­ous wave­let trans­form based on aud­it­ory nerve mod­els,” Chapter 20, pp. 527–​546 in Wave­lets in medi­cine and bio­logy. Edi­ted by A. Aldroubi and M. Un­ser. CRC Press (Boca Raton, FL), 1996. Zbl 0848.​92003 incollection

F. Auger, E. Chas­sande-Mot­tin, I. Daubech­ies, and P. Flandrin: Par­ti­tion du plan temps-fréquence et réal­loc­a­tion [Par­ti­tion of the time-fre­quency plan and re­as­sig­ment], 1997. On­line con­fer­ence pro­ceed­ings, GRET­SI, Gren­oble, France, 18–21 Septem­ber 1997. misc

A. R. Calderb­ank, I. Daubech­ies, W. Sweldens, and B.-L. Yeo: “Lossless im­age com­pres­sion us­ing in­teger to in­teger wave­let trans­forms,” pp. 596–​599 in 1st in­ter­na­tion­al con­fer­ence on im­age pro­cessing (Santa Bar­bara, CA, 26–29 Oc­to­ber 1997), vol. 1. IEEE (Pis­cat­away, NJ), 1997. incollection

E. Chas­sande-Mot­tin, I. Daubech­ies, F. Auger, and P. Flandrin: “Dif­fer­en­tial re­as­sign­ment,” IEEE Sig. Proc. Lett. 4 : 10 (October 1997), pp. 293–​294. article

A. Co­hen, I. Daubech­ies, and G. Plonka: “Reg­u­lar­ity of re­fin­able func­tion vec­tors,” J. Four­i­er Anal. Ap­pl. 3 : 3 (1997), pp. 295–​324. MR 1448340 Zbl 0914.​42025 article

I. Daubech­ies: “From the ori­gin­al framer to present-day time-fre­quency and time-scale frames,” J. Four­i­er Anal. Ap­pl. 3 : 5 (1997), pp. 485–​486. Ded­ic­ated to the memory of Richard J. Duffin. MR 1491928 Zbl 0903.​42013 article

1997 Sat­ter Prize,” No­tices Am. Math. Soc. 44 : 3 (March 1997), pp. 348–​349. article

M. Un­ser and I. Daubech­ies: “On the ap­prox­im­a­tion power of con­vo­lu­tion-based least squares versus in­ter­pol­a­tion,” IEEE Trans. Sig­nal Pro­cess. 45 : 7 (1997), pp. 1697–​1711. Zbl 0879.​94005 article

I. Daubech­ies: “Pre­face,” pp. 5 in R. Car­mona, W.-L. Hwang, and B. Tor­résani: Prac­tic­al time-fre­quency ana­lys­is: Gabor and wave­let trans­forms with an im­ple­ment­a­tion in S. Wave­let Ana­lys­is and Its Ap­plic­a­tions 9. Aca­dem­ic Press (San Diego, CA), 1998. incollection

I. Daubech­ies: “Re­cent res­ults in wave­let ap­plic­a­tions,” J. Elec­tron. Ima­ging 7 : 4 (October 1998), pp. 719–​724. Also pub­lished as part of Wave­let Ap­plic­a­tions V (1998). article

I. Daubech­ies: “Re­cent res­ults in wave­let ap­plic­a­tions,” pp. 2–​9 in Wave­let ap­plic­a­tions V (Or­lando, FL, 14–16 April 1998). Edi­ted by H. H. Szu. Pro­ceed­ings of the So­ci­ety of Photo-Op­tic­al In­stru­ment­a­tion En­gin­eers 3391. 1998. Also pub­lished om J. Elec­tron. Ima­ging 7:4 (1998). incollection

E. Kort: “In­grid Daubech­ies,” pp. 34–​38 in Not­able wo­men in math­em­at­ics: A bio­graph­ic­al dic­tion­ary. Edi­ted by C. Mor­row and T. Perl. Green­wood Press (West­port, CT), 1998. incollection

A. R. Calderb­ank, I. Daubech­ies, W. Sweldens, and B.-L. Yeo: “Wave­let trans­forms that map in­tegers to in­tegers,” Ap­pl. Com­put. Har­mon. Anal. 5 : 3 (July 1998), pp. 332–​369. MR 1632537 Zbl 0941.​42017 article

I. Daubech­ies and W. Sweldens: “Factor­ing wave­let trans­forms in­to lift­ing steps,” J. Four­i­er Anal. Ap­pl. 4 : 3 (1998), pp. 247–​269. This was later pub­lished (without an ab­stract) in Wave­lets in the geosciences (2000). MR 1650921 Zbl 0913.​42027 article

D. L. Donoho, M. Vet­terli, R. A. DeVore, and I. Daubech­ies: “Data com­pres­sion and har­mon­ic ana­lys­is,” IEEE Trans. Inf. The­ory 44 : 6 (1998), pp. 2435–​2476. MR 1658775 Zbl 1125.​94311 article

I. C. Daubech­ies and A. C. Gil­bert: “Har­mon­ic ana­lys­is, wave­lets and ap­plic­a­tions,” pp. 159–​226 in Hy­per­bol­ic equa­tions and fre­quency in­ter­ac­tions. Edi­ted by L. Caf­farelli and W. E. IAS/Park City Math­em­at­ics Series 5. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1999. MR 1662830 Zbl 0931.​42017 incollection

I. Daubech­ies, I. Guskov, and W. Sweldens: “Reg­u­lar­ity of ir­reg­u­lar sub­di­vi­sion,” Con­str. Ap­prox. 15 : 3 (1999), pp. 381–​426. MR 1687779 Zbl 0957.​42022 article

I. Daubech­ies, I. Guskov, P. Schröder, and W. Sweldens: “Wave­lets on ir­reg­u­lar point sets,” R. Soc. Lond. Philos. Trans. Ser. A, Math. Phys. Eng. Sci. 357 : 1760 (1999), pp. 2397–​2413. MR 1721247 Zbl 0945.​42019 article

I. Daubech­ies and S. Maes: “An ap­plic­a­tion of a for­mula of Al­berto Calderón to speak­er iden­ti­fic­a­tion,” Chapter 10, pp. 163–​181 in Har­mon­ic ana­lys­is and par­tial dif­fer­en­tial equa­tions: Es­says in hon­or of Al­berto P. Calderón’s 75th birth­day (Chica­go, Feb­ru­ary 1996). Edi­ted by M. Christ, C. E. Kenig, and C. Sa­d­osky. Chica­go Lec­tures in Math­em­at­ics. Uni­versity of Chica­go Press, 1999. MR 1743861 Zbl 1006.​92500 incollection

Z. Cvetkovic and I. Daubech­ies: “Single-bit over­sampled A/D con­ver­sion with ex­po­nen­tial ac­cur­acy in the bit-rate,” pp. 343–​352 in Pro­ceed­ings: Data com­pres­sion con­fer­ence 2000 (Snow­bird, UT, 28–30 March 2000). Edi­ted by J. A. Stor­er and M. Cohn. IEEE Com­puter So­ci­ety Press (Los Alam­i­tos, CA), 2000. Also pub­lished in IEEE Trans. In­form. The­ory 53:11 (2007). incollection

D. Haun­sper­ger and S. Kennedy: “Coal miner’s daugh­ter,” Math Ho­ri­zons 7 : 4 (April 2000), pp. 5–​9, 28–​30. article

A. Jack­son: “In­grid Daubech­ies re­ceives NAS Award in Math­em­at­ics,” No­tices Am. Math. Soc. 47 : 5 (May 2000), pp. 571. article

R. Bal­an, I. Daubech­ies, and V. Vaisham­pay­an: “The ana­lys­is and design of win­dowed Four­i­er frame based mul­tiple de­scrip­tion source cod­ing schemes,” IEEE Trans. In­form. The­ory 46 : 7 (2000), pp. 2491–​2536. MR 1806816 Zbl 0998.​94011 article

I. Daubech­ies and W. Sweldens: “Factor­ing wave­let trans­forms in­to lift­ing steps,” pp. 131–​157 in Wave­lets in the geosciences: Col­lec­tion of the lec­ture notes of the school of wave­lets in the geosciences (Delft, Neth­er­lands, 4–9 Oc­to­ber 1998). Edi­ted by R. Klees and R. Haag­mans. Lec­tures in Earth Sci­ences 90. Spring­er (Ber­lin), 2000. This was earli­er pub­lished (with an ab­stract) in J. Four­i­er Anal. Ap­pl. 4:3 (1998). Zbl 0963.​65154 incollection

I. Daubech­ies and J. C. Lagari­as: “Cor­ri­gendum/ad­dendum to: ‘Sets of matrices all in­fin­ite products of which con­verge’,” Lin­ear Al­gebra Ap­pl. 327 : 1–​3 (April 2001), pp. 69–​83. Cor­ri­gendum/ad­dendum to art­icle pub­lished in Lin­ear Al­gebra Ap­pl. 161 (1992). MR 1823340 Zbl 0978.​15024 article

I. Daubech­ies, I. Guskov, and W. Sweldens: “Com­mut­a­tion for ir­reg­u­lar sub­di­vi­sion,” Con­str. Ap­prox. 17 : 4 (2001), pp. 479–​514. MR 1845265 Zbl 0994.​42019 article

A. Co­hen, W. Dah­men, I. Daubech­ies, and R. DeVore: “Tree ap­prox­im­a­tion and op­tim­al en­cod­ing,” Ap­pl. Com­put. Har­mon. Anal. 11 : 2 (2001), pp. 192–​226. MR 1848303 Zbl 0992.​65151 article

I. Daubech­ies: Desy­at’ lekt­sij po vejv­letam [Ten lec­tures on wave­lets]. Edi­ted by A. P. Petuk­hov. Reg­ul­yarnaya i Khaoticheskaya Di­n­ami­ka (Mo­scow), 2001. Rus­si­an trans­la­tion of 1992 ori­gin­al. Zbl 1006.​42030 book

Z. Cvetkovic, I. Daubech­ies, and B. F. Lo­gan: “In­ter­pol­a­tion of band­lim­ited func­tions from quant­ized ir­reg­u­lar samples,” pp. 412–​421 in Pro­ceed­ings: Data com­pres­sion con­fer­ence (Snow­bird, UT, 2–4 April 2002). Edi­ted by J. A. Stor­er and M. Cohn. IEEE (Pis­cat­away, NJ), 2002. incollection

I. Daubech­ies, R. DeVore, C. S. Güntürk, and V. A. Vaisham­pay­an: “Beta ex­pan­sions: A new ap­proach to di­git­ally cor­rect A/D con­ver­sion,” pp. 784–​787 in 2002 IEEE in­ter­na­tion­al sym­posi­um on cir­cuits and sys­tems: Pro­ceed­ings (Phoenix-Scott­s­dale, AZ, 26–29 May 2007), vol. 2. IEEE (Pis­cat­away, NJ), 2002. incollection

A. R. Calderb­ank and I. Daubech­ies: “The pros and cons of demo­cracy,” pp. 1721–​1725 in Shan­non the­ory: Per­spect­ive, trends, and ap­plic­a­tions: Spe­cial is­sue ded­ic­ated to Aaron D. Wyn­er, published as IEEE Trans. In­form. The­ory 48 : 6. Issue edi­ted by H. J. Land­au, J. E. Mazo, S. Shamai, and J. Ziv. IEEE (New York), June 2002. MR 1902984 Zbl 1061.​94014 incollection

I. Daubech­ies and B. Han: “The ca­non­ic­al dual frame of a wave­let frame,” Ap­pl. Com­put. Har­mon. Anal. 12 : 3 (2002), pp. 269–​285. MR 1912147 Zbl 1013.​42023 article

A. Co­hen, I. Daubech­ies, O. G. Gulery­uz, and M. T. Orch­ard: “On the im­port­ance of com­bin­ing wave­let-based non­lin­ear ap­prox­im­a­tion with cod­ing strategies,” IEEE Trans. In­form. The­ory 48 : 7 (2002), pp. 1895–​1921. MR 1929999 Zbl 1061.​94004 article

I. Daubech­ies and F. Plan­chon: “Ad­apt­ive Gabor trans­forms,” Ap­pl. Com­put. Har­mon. Anal. 13 : 1 (July 2002), pp. 1–​21. MR 1930173 Zbl 1032.​94001 article

R. Bal­an and I. Daubech­ies: “Op­tim­al stochast­ic en­cod­ing and ap­prox­im­a­tion schemes us­ing Weyl–Heis­en­berg sets,” Chapter 11, pp. 259–​320 in Ad­vances in Gabor ana­lys­is. Edi­ted by H. G. Feichtinger and T. Strohmer. Ap­plied and Nu­mer­ic­al Har­mon­ic Ana­lys­is. Birkhäuser (Bo­ston), 2003. MR 1955939 Zbl 1033.​94001 incollection

I. Daubech­ies, B. Han, A. Ron, and Z. Shen: “Frame­lets: MRA-based con­struc­tions of wave­let frames,” Ap­pl. Com­put. Har­mon. Anal. 14 : 1 (January 2003), pp. 1–​46. MR 1971300 Zbl 1035.​42031 article

A. Co­hen, W. Dah­men, I. Daubech­ies, and R. DeVore: “Har­mon­ic ana­lys­is of the space BV,” Rev. Mat. Iberoamer­ic­ana 19 : 1 (2003), pp. 235–​263. MR 1993422 Zbl 1044.​42028 article

I. Daubech­ies and R. DeVore: “Ap­prox­im­at­ing a band­lim­ited func­tion us­ing very coarsely quant­ized data: A fam­ily of stable sigma-delta mod­u­lat­ors of ar­bit­rary or­der,” Ann. Math. (2) 158 : 2 (2003), pp. 679–​710. MR 2018933 Zbl 1058.​94004 article

C. Rud­in, I. Daubech­ies, and R. E. Scha­pire: “The dy­nam­ics of Ad­a­Boost: Cyc­lic be­ha­vi­or and con­ver­gence of mar­gins,” J. Mach. Learn. Res. 5 (2003–2004), pp. 1557–​1595. MR 2248027 Zbl 1222.​68293 article

I. Daubech­ies and B. Han: “Pairs of dual wave­let frames from any two re­fin­able func­tions,” Con­str. Ap­prox. 20 : 3 (2004), pp. 325–​352. MR 2057532 Zbl 1055.​42025 article

I. Daubech­ies, O. Run­borg, and W. Sweldens: “Nor­mal mul­tiresol­u­tion ap­prox­im­a­tion of curves,” Con­str. Ap­prox. 20 : 3 (2004), pp. 399–​463. MR 2057535 Zbl 1051.​42025 article

I. Daubech­ies, M. De­frise, and C. De Mol: “An it­er­at­ive threshold­ing al­gorithm for lin­ear in­verse prob­lems with a sparsity con­straint,” Comm. Pure Ap­pl. Math. 57 : 11 (2004), pp. 1413–​1457. MR 2077704 Zbl 1077.​65055 ArXiv math/​0307152 article

C. Rud­in, R. E. Scha­pire, and I. Daubech­ies: “Boost­ing based on a smooth mar­gin,” pp. 502–​517 in Learn­ing the­ory: 17th an­nu­al con­fer­ence on learn­ing the­ory (Ban­ff, AB, 1–4 Ju­ly 2004). Edi­ted by J. Shawe-Taylor and Y. Sing­er. Lec­ture Notes in Com­puter Sci­ence 3120. Spring­er (Ber­lin), 2004. MR 2177931 Zbl 1078.​68724 incollection

C. Rud­in, I. Daubech­ies, and R. Scha­pire: “On the dy­nam­ics of boost­ing” in Ad­vances in neur­al in­form­a­tion pro­cessing sys­tems 16: Pro­ceed­ings of the 2003 con­fer­ence (Van­couver and Whist­ler, BC, 8–13 Decem­ber 2003). Edi­ted by S. Thrun, L. K. Saul, and B. Schölkopf. MIT Press (Cam­bridge, MA), 2004. incollection

I. Daubech­ies: “Thought prob­lems: An auto­bi­o­graph­ic­al es­say,” pp. 358–​361 in Com­plex­it­ies: Wo­men in math­em­at­ics. Edi­ted by B. A. Case and A. Leg­gett. Prin­ceton Uni­versity Press, 2005. incollection

I. Daubech­ies and G. Tesch­ke: “Vari­ation­al im­age res­tor­a­tion by means of wave­lets: Sim­ul­tan­eous de­com­pos­i­tion, deblur­ring, and de­nois­ing,” Ap­pl. Com­put. Har­mon. Anal. 19 : 1 (2005), pp. 1–​16. MR 2147059 Zbl 1079.​68104 article

I. Daubech­ies, K. Draka­kis, and T. Khovan­ova: “A de­tailed study of the at­tach­ment strategies of new autonom­ous sys­tems in the AS con­nectiv­ity graph,” In­ter­net Math. 2 : 2 (2005), pp. 185–​246. MR 2193159 Zbl 1087.​05051 article

E. Pier­paoli, S. An­thoine, K. Huffen­ber­ger, and I. Daubech­ies: “Re­con­struct­ing Sun­yaev–Zel’dovich clusters in fu­ture cos­mic mi­crowave back­ground ex­per­i­ments,” Mon. Not. R. As­tron. Soc. 359 : 1 (May 2005), pp. 261–​271. ArXiv astro-​ph/​0412197 article

I. Daubech­ies: “Cor­rec­tion d’er­reurs et com­pres­sion” [Er­ror cor­rec­tion and com­pres­sion], Mathématique et Pédago­gie 157 (2006), pp. 5–​33. article

I. Lor­is, G. No­let, I. Daubech­ies, and F. A. Dah­len: “Tomo­graph­ic in­ver­sion us­ing \( \ell_1 \)-norm reg­u­lar­iz­a­tion of wave­let coef­fi­cients,” Geo­phys. J. Int. 170 : 1 (2006), pp. 359–​370. ArXiv physics/​0608094 article

J. Zou, A. Gil­bert, M. Strauss, and I. Daubech­ies: “The­or­et­ic­al and ex­per­i­ment­al ana­lys­is of a ran­dom­ized al­gorithm for sparse Four­i­er trans­form ana­lys­is,” J. Com­put. Phys. 211 : 2 (January 2006), pp. 572–​595. MR 2173397 Zbl 1085.​65128 ArXiv math/​0411102 article

Fun­da­ment­al pa­pers in wave­let the­ory. Edi­ted by C. Heil and D. F. Wal­nut. Prin­ceton Uni­versity Press, 2006. With a fore­word by In­grid Daubech­ies. In­tro­duc­tion by John J. Bene­detto. MR 2229251 Zbl 1113.​42001 book

I. Daubech­ies, R. A. DeVore, C. S. Güntürk, and V. A. Vaisham­pay­an: “A/D con­ver­sion with im­per­fect quant­izers,” IEEE Trans. In­form. The­ory 52 : 3 (2006), pp. 874–​885. MR 2238058 Zbl 1231.​94036 article

I. Daubech­ies and Ö. Yıl­maz: “Ro­bust and prac­tic­al ana­log-to-di­git­al con­ver­sion with ex­po­nen­tial pre­ci­sion,” IEEE Trans. In­form. The­ory 52 : 8 (2006), pp. 3533–​3545. MR 2242363 Zbl 1231.​94037 article

S. An­thoine, E. Pier­paoli, and I. Daubech­ies: “Deux méthodes de décon­vo­lu­tion et sépar­a­tion sim­ul­tanées: Ap­plic­a­tion à la re­con­struc­tion des amas de galax­ies” [Two ap­proaches for the sim­ul­tan­eous sep­ar­a­tion and deblur­ring: Ap­plic­a­tion to as­tro­phys­ic­al data], Trait. Sig­nal 23 : 5–​6 (2006), pp. 439–​447. Zbl 1245.​94013 article

S. Hughes and I. Daubech­ies: “Sim­pler al­tern­at­ives to in­form­a­tion the­or­et­ic sim­il­ar­ity met­rics for mul­timod­al im­age align­ment” in 2006 In­ter­na­tion­al con­fer­ence on im­age pro­cessing (At­lanta, GA, 8–11 Oc­to­ber 2006). Pro­ceed­ings, In­ter­na­tion­al Con­fer­ence on Im­age Pro­cessing. IEEE (Pis­cat­away, NJ), 2007. incollection

I. Daubech­ies, G. Tesch­ke, and L. Vese: “It­er­at­ively solv­ing lin­ear in­verse prob­lems un­der gen­er­al con­vex con­straints,” In­verse Probl. Ima­ging 1 : 1 (2007), pp. 29–​46. MR 2262744 Zbl 1123.​65044 article

I. Daubech­ies, O. Run­borg, and J. Zou: “A sparse spec­tral meth­od for ho­mo­gen­iz­a­tion multiscale prob­lems,” Multiscale Mod­el. Simul. 6 : 3 (2007), pp. 711–​740. MR 2368964 Zbl 1152.​65099 article

C. Rud­in, R. E. Scha­pire, and I. Daubech­ies: “Ana­lys­is of boost­ing al­gorithms us­ing the smooth mar­gin func­tion,” Ann. Stat­ist. 35 : 6 (2007), pp. 2723–​2768. MR 2382664 Zbl 1132.​68827 ArXiv 0803.​4092 article

C. Rud­in, R. E. Scha­pire, and I. Daubech­ies: “Pre­cise state­ments of con­ver­gence for Ad­a­Boost and arc-gv,” pp. 131–​145 in Pre­dic­tion and dis­cov­ery: AMS-IMS-SIAM joint sum­mer re­search con­fer­ence on ma­chine and stat­ist­ic­al learn­ing (Snow­bird, UT, 25–29 June 2006). Edi­ted by J. S. Ver­ducci, X. Shen, and J. Laf­ferty. Con­tem­por­ary Math­em­at­ics 443. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 2007. Pa­per ded­ic­ated to Leo Breiman. Avail­able open access here. MR 2433289 Zbl 1141.​68722 incollection

Z. Cvetković, I. Daubech­ies, and B. F. Lo­gan, Jr.: “Single-bit over­sampled A/D con­ver­sion with ex­po­nen­tial ac­cur­acy in the bit rate,” IEEE Trans. In­form. The­ory 53 : 11 (2007), pp. 3979–​3989. Also pub­lished in Pro­ceed­ings: DCC 2000 (2000). MR 2446550 Zbl 1231.​94041 article

I. Daubech­ies, R. DeVore, M. For­nas­i­er, and S. Gun­turk: “It­er­at­ively re-weighted least squares min­im­iz­a­tion: Proof of faster than lin­ear rate for sparse re­cov­ery,” pp. 26–​29 in 2008 42nd an­nu­al con­fer­ence on in­form­a­tion sci­ences and sys­tems (Prin­ceton, NJ, 19–21 March 2008). IEEE (Pis­cat­away, NJ), 2008. incollection

C. R. John­son, Jr., E. Hendriks, I. J. Berezh­noy, E. Brevdo, S. M. Hughes, I. Daubech­ies, J. Li, E. Postma, and J. Z. Wang: “Im­age pro­cessing for artist iden­ti­fic­a­tion: Com­pu­ter­ized ana­lys­is of Vin­cent van Gogh’s paint­ing brush­strokes,” IEEE Sig­nal Pro­cess. Mag. 25 : 4 (2008), pp. 37–​48. article

I. Daubech­ies, M. For­nas­i­er, and I. Lor­is: “Ac­cel­er­ated pro­jec­ted gradi­ent meth­od for lin­ear in­verse prob­lems with sparsity con­straints,” J. Four­i­er Anal. Ap­pl. 14 : 5–​6 (2008), pp. 764–​792. MR 2461606 Zbl 1175.​65062 ArXiv 0706.​4297 article

D. Huylebrouck: “In­ter­view met In­grid Daubech­ies: De typis­che re­flex van de wiskun­dige” [In­ter­view with In­grid Daubech­ies: The typ­ic­al re­flex of the math­em­atician], Nieuw Arch. Wiskd. (5) 9 : 3 (2008), pp. 198–​203. Zbl 1239.​01089 article

B. Cor­nel­is, A. Dooms, I. Daubech­ies, and P. Schelkens: Re­port on di­git­al im­age pro­cessing for art his­tor­i­ans, 2009. In on­line pro­ceed­ings “SAMPTA’09: SAMPling The­ory and Ap­plic­a­tions,” L. Fes­quet and B. Torrésani, eds. (Mar­seille, France, 18–22 May 2009). misc

I. Daubech­ies, E. Rous­sos, S. Takerkart, M. Ben­har­rosh, C. Golden, K. D’Ar­denne, W. Richter, J. D. Co­hen, and J. Haxby: “In­de­pend­ent com­pon­ent ana­lys­is for brain fMRI does NOT se­lect for in­de­pend­ence,” Proc. Natl. Acad. Sci. USA 106 : 26 (2009), pp. 10415–​10422. article

S. Ja­farp­our, G. Po­latkan, E. Brevdo, S. Hughes, A. Bra­sov­eanu, and I. Daubech­ies: “Styl­ist­ic ana­lys­is of paint­ings us­ing wave­lets and ma­chine learn­ing,” pp. 1220–​1224 in 17th European sig­nal pro­cessing con­fer­ence (EU­SIPCO 2009) (Glas­gow, Scot­land, 24–28 Au­gust 2009). IEEE (Pis­cat­away, NJ), 2009. incollection

Y. Lip­man and I. Daubech­ies: Sur­face com­par­is­on with mass trans­port­a­tion. Pre­print, December 2009. ArXiv 0912.​3488 techreport

G. Po­latkan, S. Ja­farp­our, A. Bra­sov­eanu, S. Hughes, and I. Daubech­ies: “De­tec­tion of for­gery in paint­ings us­ing su­per­vised learn­ing,” pp. 2921–​2924 in 2009 IEEE in­ter­na­tion­al con­fer­ence on im­age pro­cessing (Cairo, 7–12 Novem­ber 2009). Pro­ceed­ings, In­ter­na­tion­al Con­fer­ence on Im­age Pro­cessing. IEEE (Pis­cat­away, NJ), 2009. incollection

J. Brod­ie, I. Daubech­ies, C. De Mol, D. Gi­an­none, and I. Lor­is: “Sparse and stable Markow­itz port­fo­li­os,” Proc. Natl. Acad. Sci. USA 106 : 30 (2009), pp. 12267–​12272. Zbl 1203.​91271 ArXiv 0708.​0046 article

I. Lor­is, H. Douma, G. No­let, I. Daubech­ies, and C. Re­gone: “Non­lin­ear reg­u­lar­iz­a­tion tech­niques for seis­mic tomo­graphy,” J. Com­put. Phys. 229 : 3 (February 2010), pp. 890–​905. MR 2566369 Zbl 1182.​86003 ArXiv 0808.​3472 article

I. Daubech­ies, R. DeVore, M. For­nas­i­er, and C. S. Güntürk: “It­er­at­ively re­weighted least squares min­im­iz­a­tion for sparse re­cov­ery,” Comm. Pure Ap­pl. Math. 63 : 1 (2010), pp. 1–​38. MR 2588385 Zbl 1202.​65046 ArXiv 0807.​0575 article

I. Daubech­ies, S. Güntürk, Y. Wang, and Ö. Yıl­maz: “The Golden ra­tio en­coder,” IEEE Trans. In­form. The­ory 56 : 10 (2010), pp. 5097–​5110. MR 2808667 Zbl 1366.​94231 ArXiv 0809.​1257 article

I. Daubech­ies: “The work of Yves Mey­er,” pp. 115–​124 in Pro­ceed­ings of the In­ter­na­tion­al Con­gress of Math­em­aticians (Hy­dera­bad, In­dia, 19–27 Au­gust 2010), vol. 1. Edi­ted by R. Bha­tia, P. A. Gastesi, A. Pal, G. Ranga­ra­jan, V. Srinivas, and M. Van­ninath­an. Hindus­tan Book Agency (New Del­hi), 2010. MR 2827886 Zbl 1225.​01059 incollection

A. Anitha, A. Bra­sov­eanu, M. F. Duarte, S. M. Hughes, I. Daubech­ies, J. Dik, K. Jans­sens, and M. Alfeld: “Vir­tu­al un­der­paint­ing re­con­struc­tion from X-ray fluor­es­cence ima­ging data,” pp. 1239–​1243 in 2011 19th European sig­nal pro­cessing con­fer­ence (Bar­celona, 29 Au­gust–2 Septem­ber 2011). IEEE (Pis­cat­away, NJ), 2011. incollection

D. M. Boy­er, Y. Lip­man, E. S. Clair, J. Puente, B. A. Pa­tel, T. Funk­houser, J. Jern­vall, and I. Daubech­ies: “Al­gorithms to auto­mat­ic­ally quanti­fy the geo­met­ric sim­il­ar­ity of ana­tom­ic­al sur­faces,” Proc. Natl. Acad. Sci. USA 108 : 45 (2011), pp. 18221–​18226. ArXiv 1110.​3649 article

J. M. Bunn, D. M. Boy­er, Y. Lip­man, E. M. S. Clair, J. Jern­vall, and I. Daubech­ies: “Com­par­ing Di­rich­let nor­mal sur­face en­ergy of tooth crowns, a new tech­nique of mol­ar shape quan­ti­fic­a­tion for di­et­ary in­fer­ence, with pre­vi­ous meth­ods in isol­a­tion and in com­bin­a­tion,” Am. J. Phys. An­thro­pol. 145 : 2 (June 2011), pp. 247–​261. article

I. Daubech­ies, J. Lu, and H.-T. Wu: “Syn­chrosqueezed wave­let trans­forms: An em­pir­ic­al mode de­com­pos­i­tion-like tool,” Ap­pl. Com­put. Har­mon. Anal. 30 : 2 (2011), pp. 243–​261. MR 2754779 Zbl 1213.​42133 ArXiv 0912.​2437 article

Y. Lip­man and I. Daubech­ies: “Con­form­al Wasser­stein dis­tances: Com­par­ing sur­faces in poly­no­mi­al time,” Adv. Math. 227 : 3 (2011), pp. 1047–​1077. Part II was pub­lished in Math. Comp. 82:281 (2013). MR 2799600 Zbl 1217.​53026 ArXiv 1103.​4408 article

M. Cook: “In­grid Chant­al Daubech­ies,” Mitt. Dtsch. Math.-Ver. 19 : 1 (2011), pp. 34–​35. MR 2830402 article

H.-T. Wu, P. Flandrin, and I. Daubech­ies: “One or two fre­quen­cies? The syn­chrosqueez­ing an­swers,” Adv. Ad­apt. Data Anal. 3 : 1–​2 (April 2011), pp. 29–​39. MR 2835580 Zbl 1234.​94018 article

L. Platiša, B. Cor­nel­is, T. Ružić, A. Pižur­ica, A. Dooms, M. Martens, M. De Mey, and I. Daubech­ies: “Spa­tio­gram fea­tures to char­ac­ter­ize pearls in paint­ings,” pp. 801–​804 in 18th IEEE in­ter­na­tion­al con­fer­ence on im­age pro­cessing (Brus­sels, 11–14 Septem­ber 2011). IEEE (Pis­cat­away, NJ), 2011. incollection

T. Ružić, B. Cor­nel­is, L. Platiša, A. Pižur­ica, A. Dooms, W. Philips, M. Martens, M. De Mey, and I. Daubech­ies: “Vir­tu­al res­tor­a­tion of the Ghent Al­tarpiece us­ing crack de­tec­tion and in­paint­ing,” pp. 417–​428 in Ad­vanced con­cepts for in­tel­li­gent vis­ion sys­tems: 13th in­ter­na­tion­al con­fer­ence (Ghent, Bel­gi­um, 22–25 Au­gust 2011). Edi­ted by J. Blanc-Talon, R. Klei­horst, W. Philips, D. Popes­cu, and P. Sch­eun­ders. Lec­ture Notes in Com­puter Sci­ence 6915. Spring­er (Ber­lin), 2011. incollection

F. J. Si­mons, I. Lor­is, G. No­let, I. C. Daubech­ies, S. Voron­in, J. S. Judd, P. A. Vet­ter, J. Charléty, and C. Von­esch: “Solv­ing or resolv­ing glob­al tomo­graph­ic mod­els with spher­ic­al wave­lets, and the scale and sparsity of seis­mic het­ero­gen­eity,” Geo­phys. J. Int. 187 : 2 (November 2011), pp. 969–​988. ArXiv 1104.​3151 article

F. J. Si­mons, I. Lor­is, E. Brevdo, and I. C. Daubech­ies: “Wave­lets and wave­let-like trans­forms on the sphere and their ap­plic­a­tion to geo­phys­ic­al data in­ver­sion,” pp. electronic only, p.81380X in Wave­lets and sparsity XIV (San Diego, CA, 21–24 Au­gust 2011). Edi­ted by M. Papada­kis, D. Van De Ville, and V. K. Goy­al. Pro­ceed­ings of SPIE 8138. SPIE (Belling­ham, WA), 2011. ArXiv 1109.​1718 incollection