Donald Burkholder
Donald Lyman Burkholder (born January 19, 1927 in Octavia (Nebraska) , † April 14, 2013 in Urbana , Illinois ) was an American mathematician who was familiar with stochastics (probability theory, stochastic processes) and their application in analysis Fourier and functional analysis.
Burkholder first studied sociology (later statistics) at Earlham College in Richmond (Indiana) with a bachelor's degree in 1950, at the University of Wisconsin with a master's degree in 1953 and he studied mathematical statistics at the University of North Carolina in 1955 with Wassily Hoeffding PhD ( On a Certain Class of Stochastic Approximation Processes ). From 1955 he was an assistant professor at the University of Illinois at Urbana-Champaign , where he received a full professorship in 1964. In 1978 he became a professor at the Center for Advanced Studies there and in 1998 he retired.
He was particularly concerned with the theory of Martingales (which he turned under the influence of Joseph Doob ) and applications of probability theory in analysis. The Burkholder inequality is named after him.
In 1970 he was invited speaker at the International Congress of Mathematicians in Nice (Inequalities for operators on martingales).
From 1964 to 1967 he was co-editor of the Annals of Mathematical Statistics. In 1975/76 he was President of the Institute of Mathematical Statistics , of which he was a fellow. He was a Fellow of the National Academy of Sciences (1992), SIAM , the American Academy of Arts and Sciences (1992), the American Mathematical Society, and the American Association for the Advancement of Science .
In 1950 he married Jean A. Fox, with whom he had two sons and a daughter.
Fonts
- with Richard F. Gundy: Extrapolation and interpolation of quasi-linear operators on martingales. Acta Mathematica, Vol. 124, 1970, pp. 249-304
- Distribution function inequalities for martingales, Annals of Probability, Volume 1, 1973, pp. 19-42
- A geometrical characterization of Banach spaces in which martingale difference sequences are unconditional. Annals of Probability, Volume 9, 1981, pp. 997-1011
- Explorations in martingale theory and its applications. École d'Été de Probabilités de Saint-Flour XIX-1989, pp. 1–66, Lecture Notes in Mathematics, vol. 1464, Springer-Verlag, Berlin, 1991
Web links
Individual evidence
- ↑ Birth and career data according to Pamela Kalte et al. American Men and Women of Science , Thomson Gale 2004
- ↑ Donald Burkholder in the Mathematics Genealogy Project (English)
| personal data | |
|---|---|
| SURNAME | Burkholder, Donald |
| ALTERNATIVE NAMES | Burkholder, Donald Lyman |
| BRIEF DESCRIPTION | American mathematician |
| DATE OF BIRTH | January 19, 1927 |
| PLACE OF BIRTH | Octavia , Nebraska |
| DATE OF DEATH | April 14, 2013 |
| Place of death | Urbana , Illinois |