396:. Accessed January 12, 2010. Election citation: "During the last twenty years, Burkholder has been the leader in martingale transforms and applications of probabilistic methods to a large variety of areas in analysis, such as harmonic and analytic functions, singular integrals and Banach space classifications. He obtained wide and striking extensions of Paley's ideas in harmonic analysis of more than 30 years before."
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in 1955 where he remained until his retirement in 1998. He was promoted to associate professor in 1960, became a professor in the department in 1964 and was appointed as professor at the Center for
Advanced Study at UIUC in 1978.
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Fourier analysis."
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is co-named after him. Burkholder spent most of his professional career as a professor in the
Department of Mathematics of the
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179:. Actes du Congrès International des Mathématiciens (Nice, 1970), Tome 2, pp. 551–557. Gauthier-Villars, Paris, 1971.
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57:. After his retirement in 1998, Donald Burkholder remained a professor emeritus in the Department of Mathematics of the
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200:. École d'Été de Probabilités de Saint-Flour XIX-1989, pp. 1–66, Lecture Notes in Mathematics, vol. 1464,
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A geometrical characterization of Banach spaces in which martingale difference sequences are unconditional
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41:(January 19, 1927 – April 14, 2013) was an American mathematician known for his contributions to
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SIAM names 193 Fellows for key contributions to applied mathematics and computational science.
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and a CAS Professor
Emeritus of Mathematics at the Center for Advanced Study,
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Extrapolation and interpolation of quasi-linear operators on martingales
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193:. Annals of Probability, vol. 9 (1981), no. 6, pp. 997–1011
124:. On December 20, 2010, Burkholder was elected a Fellow of the
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Donald L. Burkholder, CAS Professor
Emeritus of Mathematics
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Members of the United States
National Academy of Sciences
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Burkholder received a PhD in statistics in 1955 from the
186:, Annals of Probability, vol. 1 (1973), pp. 19–42
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Presidents of the
Institute of Mathematical Statistics
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Explorations in martingale theory and its applications
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in 1992. The same year he was elected a fellow of the
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List of
Fellows of the American Mathematical Society
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Burkholder was an editor (1964–1967) of the journal
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American Association for the Advancement of Science
629:University of North Carolina at Chapel Hill alumni
184:Distribution function inequalities for martingales
131:In 2009 Burkholder was named a SIAM Fellow by the
317:, Spring 1998 issue, Department of Mathematics,
619:University of Illinois Urbana-Champaign faculty
373:59 Are Chosen for National Academy of Sciences.
502:Society for Industrial and Applied Mathematics
415:, Fall 1992 issue, Department of Mathematics,
133:Society for Industrial and Applied Mathematics
116:Donald Burkholder was elected a member of the
452:Illinois mathematician elected fellow of AAAS
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634:Fellows of the American Mathematical Society
277:University of North Carolina at Chapel Hill
83:University of North Carolina at Chapel Hill
575:University of Illinois at Urbana-Champaign
566:University of Illinois at Urbana-Champaign
417:University of Illinois at Urbana-Champaign
380:, May 10, 1992. Accessed January 12, 2010.
361:University of Illinois at Urbana-Champaign
337:, Vol. 68, No. 3 (Mar., 1961), pp. 313-318
319:University of Illinois at Urbana-Champaign
295:, Vol. 63, No. 2 (Feb., 1956), pp. 137-141
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63:University of Illinois at Urbana-Champaign
59:University of Illinois at Urbana-Champaign
55:University of Illinois at Urbana-Champaign
244:, April 17, 2013. Accessed April 17, 2013
177:Inequalities for operators on martingales
109:in 1986, and a Zygmund Lecture at the
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164:Burkholder, D. L.; Gundy, Richard F.,
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477:IMS Bulletin, vol. 38 (2009), no. 5,
122:American Academy of Arts and Sciences
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604:21st-century American mathematicians
599:20th-century American mathematicians
547:Institute of Mathematical Statistics
524:Institute of Mathematical Statistics
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153:Institute of Mathematical Statistics
149:Institute of Mathematical Statistics
147:. He served as the president of the
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172:, vol. 124 (1970), pp. 249–304
151:in 1975–76. He is a Fellow of the
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335:The American Mathematical Monthly
293:The American Mathematical Monthly
220:Burkholder–Davis–Gundy inequality
144:Annals of Mathematical Statistics
118:U.S. National Academy of Sciences
67:U.S. National Academy of Sciences
51:Burkholder–Davis–Gundy inequality
105:in 1971, a Mordell Lecture at
101:in 1970, a Wald Lecture at the
429:AAAS Members Elected as Fellows
614:American probability theorists
562:Burkholder's personal web page
390:Burkholder, Donald L. bio page
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584:Mathematics Genealogy Project
573:, Center for Advanced Study,
564:, Department of Mathematics,
514:Past Editors of IMS Journals.
71:American Mathematical Society
45:, particularly the theory of
394:National Academy of Sciences
363:. Accessed January 12, 2010.
321:. Accessed January 12, 2010.
238:Donald Burkholder (obituary)
526:. Accessed January 12, 2010
504:. Accessed January 12, 2010
500:News of SIAM, May 1, 2009,
481:. Accessed January 12, 2010
468:SIAM announces new Fellows.
458:. Accessed January 13, 2011
442:. Accessed January 13, 2011
359:Department of Mathematics,
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85:, under the direction of
65:. He was a member of the
549:. Accessed January 2010.
97:Burkholder delivered an
279:. Accessed January 2010
256:, retrieved 2012-11-10.
196:Burkholder, Donald L.,
189:Burkholder, Donald L.,
182:Burkholder, Donald L.,
175:Burkholder, Donald L.,
39:Donald Lyman Burkholder
456:University of Illinois
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27:American mathematician
159:Selected publications
111:University of Chicago
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266:Ph.D.s in Statistics
107:Cambridge University
69:and a fellow of the
18:Donald L. Burkholder
542:2014-03-02 at the
519:2016-03-03 at the
496:2011-08-09 at the
473:2010-05-07 at the
434:2012-10-28 at the
411:2011-06-05 at the
377:The New York Times
355:2011-01-09 at the
313:2011-06-05 at the
271:2010-05-10 at the
43:probability theory
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580:Donald Burkholder
87:Wassily Hoeffding
77:Biographical data
34:Donald Burkholder
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644:1927 births
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536:IMS Fellows
215:Martingales
47:martingales
593:Categories
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226:References
113:in 1988.
540:Archived
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209:See also
582:at the
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