July 12, 1928|
|Died||February 25, 1997(aged 68)|
|Institutions||City University of New York
|Alma mater||University of Chicago|
|Doctoral advisor||Shiing-Shen Chern|
|Doctoral students||Jeffrey Litwin
Louis Auslander (July 12, 1928 – February 25, 1997) was an American mathematician. He had wide ranging interests both in pure and applied mathematics and worked on Finsler geometry, geometry of solvmanifolds and nilmanifolds, locally affine spaces, many aspects of harmonic analysis, representation theory of solvable Lie groups, and multidimensional Fourier transforms and the design of signal sets for communications and radar. He is the author of more than one hundred papers and ten books.
Education and career
Auslander received his Ph.D. at the University of Chicago in 1955 under S. S. Chern. He was a visiting scholar at the Institute for Advanced Study in 1955-57 and again in 1971-72. After holding a variety of faculty positions at US universities, in 1965 Auslander joined the faculty at City University of New York, Graduate Center and since 1971 he had been a Distinguished Professor of Mathematics and Computer Science there.
- Auslander, Louis & Kostant, B. (1971). "Polarization and unitary representations of solvable Lie groups". Invent. Math. 14: 255–354.
- S. S. Chern, Thomas Kailath, Bertram Kostant, Calvin C. Moore, Anna Tsao, Louis Auslander (1928–1997), Notices of the AMS, vol 45, number 3, March 1998
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