### Complete Bibliography

[1] : “The boundary values of an analytic function,” Bull. Am. Math. Soc. 37 : 5 (1931), pp. 339. JFM 57.0396.10 article

[2]
:
“The boundary values of analytic functions,”
Bull. Am. Math. Soc.
38 : 3
(1932),
pp. 188–189.
Research announcement for a two-part article in *Trans. Am. Math. Soc.* **34**:1 (1932) and **35**:2 (1933).
JFM
58.0354.04
article

[3]
:
“The boundary values of analytic functions,”
Trans. Am. Math. Soc.
34 : 1
(1932),
pp. 153–170.
A research announcement for this article was published in *Bull. Am. Math. Soc.* **38**:3 (1932).
MR
1501633
JFM
58.1077.01
Zbl
0003.40401
article

[4] : “On a theorem of Gross and Iversen,” Ann. Math. (2) 33 : 4 (October 1932), pp. 753–757. MR 1503089 JFM 58.0331.02 Zbl 0005.25005 article

[5]
:
Boundary values of analytic functions.
Ph.D. thesis,
Harvard University,
1932.
Advised by J. L. Walsh.
A two part article based on this dissertation was published in *Trans. Am. Math. Soc.* **34**:1 (1932) and **35**:2 (1933).
MR
2936471
phdthesis

[6]
:
“The ranges of analytic functions,”
Bull. Am. Math. Soc.
39 : 3
(1933),
pp. 195–196.
Research announcement for an article published in *Ann. Math.* **36**:1 (1935).
JFM
59.0346.07
article

[7] : “The resolvent of a self-adjoint transformation,” Bull. Am. Math. Soc. 39 : 1 (1933), pp. 872. JFM 59.0428.10 article

[8] : “Systems of algebraic difference equations,” Bull. Am. Math. Soc. 39 : 7 (1933), pp. 508. JFM 59.0461.04 article

[9] : “The boundary values of analytic functions, II,” Trans. Am. Math. Soc. 35 : 2 (1933), pp. 418–451. MR 1501694 JFM 59.1030.01 Zbl 0006.35501 article

[10]
:
“Systems of algebraic difference equations,”
Am. J. Math.
55 : 1–4
(1933),
pp. 4.
A research announcement for this was published in *Bull. Am. Math. Soc.* **39**:7 (1933).
MR
1506981
JFM
59.0456.01
Zbl
0008.01804
article

[11]
:
“Note on probability,”
Bull. Am. Math. Soc.
40 : 11
(1934),
pp. 798.
Research announcment for an article published in *Ann. Math.* **37**:2 (1936).
JFM
60.0479.08
article

[12] : “Probability distributions and statistics,” Bull. Am. Math. Soc. 40 : 3 (1934), pp. 221. JFM 60.0479.09 article

[13] : “Probability and statistics,” Trans. Am. Math. Soc. 36 : 4 (1934), pp. 759–775. MR 1501765 JFM 60.0467.02 Zbl 0010.17303 article

[14] : “On analytic functions with positive imaginary parts,” Bull. Am. Math. Soc. 40 : 8 (1934), pp. 601–605. MR 1562915 JFM 60.0254.03 Zbl 0010.17101 article

[15] : “Stochastic processes and statistics,” Proc. Natl. Acad. Sci. USA 20 : 6 (June 1934), pp. 376–379. JFM 60.0467.01 Zbl 0009.22101 article

[16] : “The theory of statistical estimation,” Bull. Am. Math. Soc. 41 : 1 (1935), pp. 27. JFM 61.0583.10 article

[17]
:
“The ranges of analytic functions,”
Ann. Math. (2)
36 : 1
(January 1935),
pp. 117–126.
A research announcement for this was published in *Bull. Am. Math. Soc.* **39**:3 (1933).
MR
1503212
JFM
61.0355.05
Zbl
0011.16803
article

[18] : “The limiting distributions of certain statistics,” Ann. Math. Stat. 6 : 3 (September 1935), pp. 160–169. JFM 61.1296.01 Zbl 0012.26801 article

[19]
:
“Stochastic processes depending on a continuously varying parameter,”
Bull. Am. Math. Soc.
42 : 7
(1936),
pp. 490–491.
Research announcement for the article published in *Trans. Am. Math. Soc.* **42**:1 (1937).
JFM
62.0634.09
article

[20] : “Statistical estimation,” Trans. Am. Math. Soc. 39 : 3 (1936), pp. 410–421. MR 1501855 JFM 62.0611.01 Zbl 0014.16901 article

[21]
:
“Note on probability,”
Ann. Math. (2)
37 : 2
(April 1936),
pp. 363–367.
A research announcement for this was published in *Bull. Am. Math. Soc.* **40**:11 (1934).
MR
1503284
JFM
62.0589.02
Zbl
0013.40802
article

[22] : “Book review: V. Volterra, ‘Leçons sur la théorie mathématique de la lutte pour la vie’,” Bull. Am. Math. Soc. 42 : 5 (1936), pp. 304–305. Book by V. Volterra (Gauthier-Villars, 1931). MR 1563293 article

[23]
:
“Stochastic processes depending on a continuous parameter,”
Trans. Am. Math. Soc.
42 : 1
(1937),
pp. 107–140.
A research announcement for this article was published in *Bull. Am. Math. Soc.* **42**:7 (1936).
MR
1501916
JFM
63.1075.01
Zbl
0017.02701
article

[24] : “Book review: R. von Mises, ‘Wahrscheinlichkeit statistik und wahrheit’,” Bull. Am. Math. Soc. 43 : 5 (1937), pp. 316–317. Book by R. von Mises (Springer, 1936). MR 1563534 article

[25] : “Book review: E. Tornier, ‘Wahrscheinlichkeitsrechnung und allgemeine integrationstheorie’,” Bull. Am. Math. Soc. 43 : 5 (1937), pp. 317–318. Book by E. Tornier (Teubner, 1936). MR 1563535 article

[26] : “Stochastic processes with an integral-valued parameter,” Trans. Am. Math. Soc. 44 : 1 (July 1938), pp. 87–150. MR 1501964 JFM 64.0532.03 Zbl 0019.12701 article

[27] : “One-parameter families of transformations,” Duke Math. J. 4 : 4 (1938), pp. 752–774. MR 1546095 JFM 64.0192.04 Zbl 0020.10902 article

[28] : “Book review: P. Lévy, ‘Théorie de l’addition des variables aléatoires’,” Bull. Am. Math. Soc. 44 : 1 (1938), pp. 19–20. Book by P. Lévy (Gauthier-Villars, 1937). MR 1563667 article

[29] : “Book review: L. Bachelier, ‘Les lois des grands nombres du calcul des probabilités’,” Bull. Am. Math. Soc. 44 : 1 (1938), pp. 20. Book by L. Bachelier (Gauthier-Villars, 1937). MR 1563668 article

[30] : “Book review: É. Borel, ‘Valeur pratique et philosophie des probabilités’,” Bull. Am. Math. Soc. 45 : 9 (1939), pp. 651–652. Book by É. Borel (Gauthiers-Villars, 1939). MR 1564040 article

[31] : “Book review: J. Ville, ‘Étude critique de la notion de collectif’,” Bull. Am. Math. Soc. 45 : 11 (1939), pp. 824. Book by J. Ville (Gauthier-Villars, 1939). MR 1564064 article

[32] : “Regularity properties of certain families of chance variables,” Trans. Am. Math. Soc. 47 : 3 (1940), pp. 455–486. MR 2052 JFM 66.0609.04 Zbl 0023.24101 article

[33] : “The law of large numbers for continuous stochastic processes,” Duke Math. J. 6 : 2 (1940), pp. 290–306. MR 2053 JFM 66.0621.01 Zbl 0023.24401 article

[34] : “On two formulations of the theory of stochastic processes depending upon a continuous parameter,” Ann. Math. (2) 41 : 4 (October 1940), pp. 737–745. MR 2735 JFM 66.0620.01 Zbl 0025.19804 article

[35] : “Probability as measure,” Ann. Math. Stat. 12 : 2 (1941), pp. 206–214. MR 4387 JFM 67.0453.02 Zbl 0025.34501 article

[36] : “A minimum problem in the theory of analytic functions,” Duke Math. J. 8 : 3 (1941), pp. 413–424. MR 4885 JFM 67.1021.01 Zbl 0063.01144 article

[37] : “Discussion of papers on probability theory,” Ann. Math. Stat. 12 : 2 (1941), pp. 215–217. MR 4388 Zbl 0025.34502 article

[38] : “Topics in the theory of Markoff chains,” Trans. Am. Math. Soc. 52 : 1 (1942), pp. 37–64. MR 6633 Zbl 0063.09001 article

[39]
:
“The Brownian movement and stochastic equations,”
Ann. Math. (2)
43 : 2
(April 1942),
pp. 351–369.
Reprinted in *Selected papers on noise and stochastic processes* (1954).
MR
6634
Zbl
0063.01145
article

[40] : “What is a stochastic process?,” Am. Math. Mon. 49 : 10 (December 1942), pp. 648–653. MR 7210 Zbl 0060.28906 article

[41] : “On the spectral analysis of a certain transformation,” Am. J. Math. 65 : 2 (April 1943), pp. 263–272. MR 7944 Zbl 0061.24903 article

[42] : “The elementary Gaussian processes,” Ann. Math. Stat. 15 : 3 (1944), pp. 229–282. MR 10931 Zbl 0060.28907 article

[43] : “Markoff chains: Denumerable case,” Trans. Am. Math. Soc. 58 : 3 (November 1945), pp. 455–473. MR 13857 Zbl 0063.01146 article

[44] : “Probability in function space,” Bull. Am. Math. Soc. 53 : 1 (1947), pp. 15–30. MR 19858 Zbl 0032.03401 article

[45] : “Asymptotic properties of Markoff transition probabilities,” Trans. Am. Math. Soc. 63 : 3 (May 1948), pp. 393–421. MR 25097 Zbl 0041.45406 article

[46] : “Renewal theory from the point of view of the theory of probability,” Trans. Am. Math. Soc. 63 : 3 (1948), pp. 422–438. MR 25098 Zbl 0041.45405 article

[47] : “On a problem of Marczewski,” Colloq. Math. 1 (1948), pp. 216–217. MR 27314 Zbl 0038.03703 article

[48] : “Time series and harmonic analysis,” pp. 303–343 in Proceedings of the Berkeley symposium on mathematical statistics and probability (Berkeley, CA, 13–18 August 1945 and 27–29 January 1946). Edited by J. Neyman. University of California Press (Berkeley and Los Angeles), 1949. MR 27979 Zbl 0038.29902 incollection

[49] : “Heuristic approach to the Kolmogorov–Smirnov theorems,” Ann. Math. Stat. 20 : 3 (1949), pp. 393–403. MR 30732 Zbl 0035.08901 article

[50] : “Application of the theory of martingales,” pp. 23–27 in Le calcul des probabilités et ses applications [The calculus of probabilities and its applications] (Lyon, France, 28 June–3 July 1948). CNRS International Colloquia 13. Centre National de la Recherche Scientifique (Paris), 1949. MR 33460 Zbl 0041.45101 incollection

[51] : “Book review: N. Arley, ‘On the theory of stochastic processes and their application to the theory of cosmic radiation’,” Am. Math. Mon. 57 : 7 (August–September 1950), pp. 497–498. Book by N. Arley (Wiley, 1948). MR 1527645 article

[52] : “Continuous parameter martingales,” pp. 269–277 in Proceedings of the second Berkeley symposium on mathematical statistics and probability (Berkeley, CA, 31 July–12 August 1950). Edited by J. Neyman. University of California Press (Berkeley and Los Angeles), 1951. MR 44770 Zbl 0044.33802 incollection

[53] : “Book review: M. Fréchet, ‘Généralités sur les probabilités. Éléments aléatoires’,” Bull. Am. Math. Soc. 57 : 3 (1951), pp. 206–207. Book by M. Freéchet (Gauthier-Villars, 1950). MR 1565307 article

[54] : “The measure-theoretic setting of probability theory,” Ann. Soc. Polon. Math. 25 (1952), pp. 199–209. MR 58897 Zbl 0049.09601 article

[55] : Stochastic processes. John Wiley & Sons (New York), 1953. MR 0058896 Zbl 0053.26802

[56]
:
“The Brownian movement and stochastic equations,”
pp. 319–337
in
Selected papers on noise and stochastic processes.
Edited by N. Wax.
Dover Publications (New York),
1954.
Reprinted from *Ann. Math.* **43**:2 (1942).
incollection

[57] : “Semimartingales and subharmonic functions,” Trans. Am. Math. Soc. 77 : 1 (1954), pp. 86–121. MR 64347 Zbl 0059.12205 article

[58] : “Martingales and one-dimensional diffusion,” Trans. Am. Math. Soc. 78 : 1 (1955), pp. 168–208. MR 70885 Zbl 0068.11301 article

[59] : “A probability approach to the heat equation,” Trans. Am. Math. Soc. 80 : 1 (1955), pp. 216–280. MR 79376 Zbl 0068.32705 article

[60] : “Probability methods applied to the first boundary value problem,” pp. 49–80 in Proceedings of the third Berkeley symposium on mathematical statistics and probability (Berkeley, CA, 26–31 December 1954 and July–August 1955), vol. 2: Contributions to probability theory. Edited by J. Neyman. University of California Press (Berkeley and Los Angeles), 1956. MR 84886 Zbl 0074.09101 incollection

[61] : “Present state and future prospects of stochastic process theory,” pp. 348–355 in Proceedings of the International Congress of Mathematicians, 1954 (Amsterdam, 2–9 September 1954), vol. 3. Edited by J. C. H. Gerretsen and J. de Groot. Erven P. Noordhoff N.V. (Groningen), 1956. MR 84895 Zbl 0074.33801 incollection

[62] : Stochastic processes (Moscow). Izdatelstvo Inostrannoy Literatury, 1956. Russian translation of 1953 English original. MR 85654 book

[63] : “Interrelations between Brownian motion and potential theory,” pp. 202–204 in Proceedings of the International Congress of Mathematicians, 1954 (Amsterdam, 2–9 September 1954), vol. 3. Edited by J. C. H. Gerretsen and J. de Groot. Erven P. Noordhoff N.V. (Groningen), 1956. MR 95542 Zbl 0072.43102 incollection

[64] : “Book review: M. Loève, “Probability theory: Foundations. Random sequences,” Bull. Am. Math. Soc. 62 : 1 (1956), pp. 62–65. Book by M. Loève (Van Nostrand, 1955). MR 1565753 article

[65] : “Conditional Brownian motion and the boundary limits of harmonic functions,” Bull. Soc. Math. France 85 (1957), pp. 431–458. MR 0109961 Zbl 0097.34004

[66]
:
“Brownian motion on a Green space,”
Theory Probab. Appl.
2 : 1
(1957),
pp. 1–30.
A version of this was originally published in *Teor. Veroyatnost. i Primenen.* **2**:1 (1957).
article

[67] : “A new look at the first boundary-value problem,” pp. 21–33 in Applied probability: Proceedings of symposia in applied mathematics. Edited by L. A. MacColl. Proceedings of Symposia in Applied Mathematics 7. McGraw-Hill (New York), 1957. MR 92278 Zbl 0079.31202 incollection

[68]
:
“Brownian motion on a Green space,”
Teor. Veroyatnost. i Primenen.
2 : 1
(1957),
pp. 3–33.
With Russian summary.
A version of this was republished in *Theory Probab. Appl.* **2**:1 (1957).
MR
106509
Zbl
0078.32505
article

[69] : “La théorie des probabilités et le premier problème des fonctions frontières” [Probability and the first boundary function problem], Publ. Inst. Statist. Univ. Paris 6 (1957), pp. 289–290. MR 106510 Zbl 0089.34002 article

[70] : “Probability theory and the first boundary value problem,” Ill. J. Math. 2 : 1 (1958), pp. 19–36. Dedicated to Paul Lévy on the occasion of his seventieth birthday. MR 106511 Zbl 0086.08403 article

[71] : “Boundary limit theorems for a half-space,” J. Math. Pures Appl. (9) 37 (1958), pp. 385–392. MR 109962 Zbl 0097.34101 article

[72]
:
“Corrections to ‘Discrete potential theory and boundaries’,”
J. Math. Mech.
8 : 6
(1959),
pp. 993.
Corrections to an article published in *J. Math. Mech.* **8**:3 (1959).
article

[73] : “A relativized Fatou theorem,” Proc. Nat. Acad. Sci. U.S.A. 45 : 2 (February 1959), pp. 215–222. MR 107095 Zbl 0106.07801 article

[74]
:
“Discrete potential theory and boundaries,”
J. Math. Mech.
8 : 3
(1959),
pp. 433–458.
Corrections were published in *J. Math. Mech.* **8**:6 (1959).
MR
107098
Zbl
0101.11503
article

[75] : “A Markov chain theorem,” pp. 50–57 in Probability and statistics: The Harald Cramér volume. Edited by U. Grenander. Wiley Publications in Statistics. John Wiley & Sons (New York), 1959. MR 110123 Zbl 0095.12701 incollection

[76] : “A non-probabilistic proof of the relative Fatou theorem,” Ann. Inst. Fourier. Grenoble 9 (1959), pp. 293–300. MR 117454 Zbl 0095.08203 article

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[78] : “Application of boundary theory to sums of independent random variables,” pp. 182–197 in Contributions to probability and statistics: Essays in honor of H. Hotelling. Edited by I. Olkin. Stanford Studies in Mathematics and Statistics 2. Stanford University Press (Stanford, CA), 1960. MR 120667 Zbl 0094.32202 incollection

[79] : “Relative limit theorems in analysis,” J. Analyse Math. 8 : 1 (December 1960), pp. 289–306. MR 125974 Zbl 0115.26803 article

[80] : “Appreciation of Khinchin,” pp. 17–20 in Proceedings of the fourth Berkeley symposium on mathematical statistics and probability (Berkeley, CA, 20 June–30 July 1960), vol. 2. Edited by J. Neyman. University of California Press (Berkeley, CA), 1961. MR 131342 incollection

[81] : “A relative limit theorem for parabolic functions,” pp. 61–70 in Transactions of the second Prague conference on information theory, statistical decision functions, random processes (Liblice, Czech Republic, 1–6 June 1959). Edited by J. Kožešnik. Nakladatelství Československé Akademie Věd (Prague), 1961. MR 132923 Zbl 0101.11302 incollection

[82] : “Notes on martingale theory,” pp. 95–102 in Proceedings of the fourth Berkeley symposium on mathematical statistics and probability (Berkeley, CA, 20 June–30 July 1960), vol. 2. Edited by J. Neyman. University of California Press (Berkeley, CA), 1961. MR 133182 Zbl 0126.14003 incollection

[83] : “Conformally invariant cluster value theory,” Ill. J. Math. 5 : 4 (1961), pp. 521–549. MR 186821 Zbl 0196.42201 article

[84] : “Book review: M. Loève, ‘Probability theory’,” Bull. Am. Math. Soc. 67 : 5 (1961), pp. 446–447. Book by Michel Loève (Van Nostrand, 1960). MR 1566140 article

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[89] : “Cluster values of sequences of analytic functions,” Sankhyā Ser. A 25 : 2 (July 1963), pp. 137–148. MR 213567 Zbl 0145.31101 article

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“Some classical function theory theorems and their modern versions,”
Ann. Inst. Fourier (Grenoble)
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:
“Errata: ‘Some classical function theory theorems and their modern versions’,”
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[107] : “Obituary: Paul Lévy,” J. Appl. Probability 9 : 4 (December 1972), pp. 870–872. MR 342336 Zbl 0245.01020 article

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[110] : “An inequality useful in martingale theory,” Sankhyā Ser. A 35 : 1 (March 1973), pp. 1–4. MR 356216 Zbl 0272.60039 article

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[123] : “Book review: P. R. Masani, ‘Norbert Wiener 1894–1964’,” Bull. Am. Math. Soc. (N.S.) 27 : 2 (1992), pp. 304–305. Book by P. R. Masani (Birhäuser, 1990). MR 1567992 article

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“The development of rigor in mathematical probability (1900–1950),”
pp. 157–170
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Edited by J.-P. Pier.
Birkhäuser (Basel),
1994.
Republished in *Am. Math. Mon.* **103**:7 (1996).
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incollection

[126]
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“The development of rigor in mathematical probability (1900–1950),”
Am. Math. Mon.
103 : 7
(August–September 1996),
pp. 586–595.
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MR
1404084
Zbl
0865.01011
article

[127] : “A conversation with Joe Doob,” Statist. Sci. 12 : 4 (November 1997), pp. 301–311. MR 1619190 Zbl 0955.01556 article

[128] : Classical potential theory and its probabilistic counterpart, Reprint edition. Classics in Mathematics. Springer (Berlin), 2001. Originally published in 1984. MR 1814344 Zbl 0990.31001 book

[129] American mathematician who was regarded as the grand old man of probability, 2004. misc

[130] Joseph Doob, a math pioneer, dies at 94, 2004. Webpage on University of Illinois at Urbana-Champaign Department of Mathematics. misc

[131] Record of the celebration of the life of Joseph Leo Doob, 2005. Webpage on University of Illinois at Urbana-Champaign Department of Mathematics. Account of an event held in October 2004. misc

[132] : “Obituary: Joseph Leonard Doob,” J. Appl. Probab. 42 : 1 (March 2005), pp. 247–256. MR 2144907 Zbl 1072.01550 article

[133] : “Joseph Leo Doob, 1910–2004,” Stochastic Process. Appl. 115 : 7 (July 2005), pp. 1061–1072. MR 2147241 Zbl 1073.01516 article

[134] : “Foreword,” pp. v in Joseph Doob: A collection of mathematical articles in his memory, published as Ill. J. Math. 50 : 1–4. Duke University Press (Durham, NC), 2006. MR 2247820 incollection

[135] : “Joseph Leo Doob (1910–2004),” pp. vii–viii in Joseph Doob: A collection of mathematical articles in his memory, published as Ill. J. Math. 50 : 1–4. Issue edited by D. Burkholder. Duke University Press (Durham, NC), 2006. MR 2247821 Zbl 1130.01303 incollection

[136] : “Joseph Leo Doob (27 février 1910–7 juin 2004)” [Joseph Leo Doob (27 Feburary 1910–7 June 2004)], Gaz. Math. 114 (2007), pp. 33–39. MR 2361707 Zbl 1221.01089 article

[137] Joseph Doob: A collection of mathematical articles in his memory, published as Ill. J. Math. 50 : 1–4. Issue edited by D. Burkholder. Duke University Press (Durham, NC), 2007. Zbl 1120.60002 book

[138] : “Letter from Joseph L. Doob, dated June 6, 1985,” J. Électron. Hist. Probab. Stat. 5 : 1 (June 2009). Two page letter to Pierre Crépel. MR 2520680 Zbl 1170.01385 article

[139] : “J. L. Doob and stochastic processes,” Math. Pract. Theory 45 : 9 (2015), pp. 281–288. With an English summary. Zbl 1349.01046 article