Louis Auslander

Louis Auslander ( born July 12, 1928 in Brooklyn, † February 25, 1997 ) was an American mathematician who worked on differential geometry and Lie groups.

Auslander earned his doctorate under Shiing - Shen Chern at the University of Chicago in 1954. He was at Yale University, Indiana University, Purdue University, Berkeley ( Visiting Professor 1963/4 ) and at Yeshiva University before he went to the CUNY Graduate Center of the City University of New York in 1965, where he since 1971 Distinguished Professor of Mathematics and Computer Science was.

Auslander worked in both pure as in applied mathematics, particularly in differential geometry, for example, via Finsler spaces ( the subject of his dissertation at Chern, Transactions AMS 1955) and Nil -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 the associated special functions and theta functions, Alexander Kirillov 's orbit method (which he expanded on resolvable Lie groups with Bertram Kostant ). As an applied mathematician, he examined the discrete Fourier transform in radar applications and for the signal processing. He promoted the use of wavelets and the fast multipole method for solving the Helmholtz equation in the DARPA.

1971/2 he was Guggenheim Fellow. 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. 1989/91 he was Head of Applied and Computational Mathematics Program of DARPA.

Writings

  • 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
  • Publisher: Signal processing theory, 2 volumes, Springer 1990
  • Calvin Moore, Unitary representations of solvable Lie groups, AMS 1966
  • 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
The Graduate Center, CUNY Maurice Auslander Integrated Authority File
530429
de