Louis foreigner
Louis Auslander (born July 12, 1928 in Brooklyn , † February 25, 1997 ) was an American mathematician who dealt with differential geometry and Lie groups .
Fremder received his doctorate in 1954 with Shiing-Shen Chern at the University of Chicago . He was at Yale University , Indiana University , Purdue University , Berkeley (visiting professor 1963/4) and Yeshiva University before he went to the CUNY Graduate Center of the City University of New York in 1965 , where he has been Distinguished since 1971 Was Professor of Mathematics and Computer Science.
Fremder worked in both pure and applied mathematics, especially in differential geometry, for example on Finsler spaces (the topic of his dissertation in Chern, Transactions AMS 1955) and Nile manifolds (of the form G / H, with G a nilpotent Lie group and H. a subgroup), harmonic analysis (including finite Fourier transforms), Lie groups and their (unitary) representation theory and associated special functions and theta functions , Alexander Kirillow's orbit method (which he expanded with Bertram Kostant to include solvable Lie groups). As an applied mathematician, he investigated the discrete Fourier transform in radar applications and in signal processing in general. He promoted the use of wavelets and the Fast Multipole Method for solving the Helmholtz equation at DARPA .
In 1971/2 he was a Guggenheim Fellow. In 1955/6, 1956/7 and 1971/2 he was at the Institute for Advanced Study . He was also a consultant for the United States Naval Research Laboratory , IBM , Hughes Laboratories and AT&T . In 1989/91 he was director of the Applied and Computational Mathematics Program at DARPA .
His brother Maurice Auslander was also a mathematician.
Fonts
- with Robert MacKenzie: Introduction to differentiable Manifolds , McGraw Hill 1963
- Abelian Harmonic Analysis, Theta Functions and Function Algebras on a Nilmanifold , Springer, 1975, * "Lecture Notes on Nil-Theta Functions", CBMS lectures, American Mathematical Society, 1977
- Editor: Signal processing theory , 2 volumes, Springer 1990
- with Calvin Moore: Unitary representations of solvable Lie groups , AMS 1966
- with L. Markus: Flat Lorentz 3-Manifolds , AMS 1957
- with Tolimieri: "Is computing the finite Fourier transform pure or applied mathematics?", Bulletin AMS (New Series), Vol. 1, 1979, pp. 847-897
Web links
| personal data | |
|---|---|
| SURNAME | Foreigner, Louis |
| BRIEF DESCRIPTION | American mathematician |
| DATE OF BIRTH | July 12, 1928 |
| PLACE OF BIRTH | Brooklyn |
| DATE OF DEATH | February 25, 1997 |