Aurel Wintner

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 Budapest, Hungary
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.

Works

• Spektraltheorie der unendlichen Matrizen, 1929[2]
• 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

1. Hartman, Philip (1962). "Aurel Wintner". J. London Math. Soc. 37: 483–503. doi:10.1112/jlms/s1-37.1.483.
2. 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

• 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