Aurel Friedrich Wintner (8 April 1903 – 15 January 1958) was a mathematician noted for his research in mathematical analysis, number theory, differential equations and probability theory.[1] He was one of the founders of probabilistic number theory. He received his Ph.D. from the University of Leipzig in 1928 under the guidance of Leon Lichtenstein. He taught at Johns Hopkins University.
Aurel Wintner | |
|---|---|
 | |
| Born | 8 April 1903 |
| Died | 15 January 1958 (aged 54) Baltimore, Maryland, United States |
| Nationality | Austrian-Hungarian American |
| Alma mater | University of Leipzig |
| Known for | Jessen–Wintner theorem Wiener-Wintner theorem |
| Scientific career | |
| Fields | Mathematics |
| Institutions | Johns Hopkins University |
| Doctoral advisor | Leon Lichtenstein |
| Doctoral students | Shlomo Sternberg Philip Hartman |
He was a nephew of the astronomer Samuel Oppenheim,[citation needed] and the son-in-law of mathematician Otto Hölder.[2]
Works
edit- Spektraltheorie der unendlichen Matrizen, 1929[3]
- The Analytical Foundations of Celestial Mechanics, 1941 (reprinted in 2014 by Dover)
- Eratosthenian Averages, 1943
- The Theory of Measure in Arithmetical Semi-Groups, 1944
- An Arithmetical Approach to Ordinary Fourier Series, 1945
- The Fourier Transforms of Probability Distributions, 1947
References
edit- ^ Hartman, Philip (1962). "Aurel Wintner". J. London Math. Soc. 37: 483–503. doi:10.1112/jlms/s1-37.1.483.
- ^ Elbert, Árpád; Garay, Barnabás M. (2006), "Differential equations: Hungary, the extended first half of the 20th century", in Horváth, János (ed.), A Panorama of Hungarian Mathematics in the Twentieth Century, I, Bolyai Soc. Math. Stud., vol. 14, Springer, Berlin, pp. 245–294, doi:10.1007/978-3-540-30721-1_9, ISBN 978-3-540-28945-6, MR 2547513; see p. 248
- ^ Tamarkin, J. D. (1931). "Review: Aurel Wintner, Spektraltheorie der unendlichen Matrizen. Einführung in den analytischen Apparat der Quantenmechanik". Bull. Amer. Math. Soc. 37 (9, Part 1): 651–652. doi:10.1090/s0002-9904-1931-05207-1.
External links
edit- O'Connor, John J.; Robertson, Edmund F., "Aurel Wintner", MacTutor History of Mathematics Archive, University of St Andrews
- Aurel Wintner at the Mathematics Genealogy Project
- Spektraltheorie Der Unendlichen Matrizen at the Internet Archive
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