Aurel Wintner Explained

Aurel Wintner
Birth Date:	8 April 1903
Birth Place:	Budapest, Hungary
Death Place:	Baltimore, Maryland, United States
Nationality:	Austrian-Hungarian American
Fields:	Mathematics
Workplaces:	Johns Hopkins University
Alma Mater:	University of Leipzig
Doctoral Advisor:	Leon Lichtenstein
Doctoral Students:	Shlomo Sternberg Philip Hartman
Known For:	Jessen–Wintner theorem Wiener-Wintner theorem

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, 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

External links

• • • Spektraltheorie Der Unendlichen Matrizen at the Internet Archive

Notes and References

1. Hartman, Philip. Philip Hartman. Aurel Wintner. J. London Math. Soc.. 37. 1962. 483–503. 10.1112/jlms/s1-37.1.483.

2. see p. 248

3. Tamarkin, J. D.. Jacob Tamarkin. Review: Aurel Wintner, Spektraltheorie der unendlichen Matrizen. Einführung in den analytischen Apparat der Quantenmechanik. Bull. Amer. Math. Soc.. 1931. 37. 9, Part 1. 651–652. 10.1090/s0002-9904-1931-05207-1. free.