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.
He was a nephew of the astronomer Samuel Oppenheim,[citation needed] and the son-in-law of mathematician Otto Hölder.[2]
Works
- 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
- ^ 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, 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.
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