Louis Auslander was an American mathematician. He had wide ranging interests both in pure and applied mathematics and worked on Finsler geometry, geometry of solvmanifold

Solvmanifold

In mathematics, a solvmanifold is a homogeneous space of a connected solvable Lie group. It may also be characterized as a quotient of a connected solvable Lie group by a closed subgroup...

s and nilmanifold

Nilmanifold

In mathematics, a nilmanifold is a differentiable manifold which has a transitive nilpotent group of diffeomorphisms acting on it. As such, a nilmanifold is an example of a homogeneous space and is diffeomorphic to the quotient space N/H, the quotient of a nilpotent Lie group N modulo a closed...

s, locally affine spaces, many aspects of harmonic analysis

Harmonic analysis

Harmonic analysis is the branch of mathematics that studies the representation of functions or signals as the superposition of basic waves. It investigates and generalizes the notions of Fourier series and Fourier transforms...

, representation theory

Representation theory

Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studiesmodules over these abstract algebraic structures...

 of solvable Lie groups, and multidimensional Fourier transform

Fourier transform

In mathematics, Fourier analysis is a subject area which grew from the study of Fourier series. The subject began with the study of the way general functions may be represented by sums of simpler trigonometric functions...

s and the design of signal sets for communications and radar. He is the author of more than one hundred papers and ten books. He received his Ph.D. at the University of Chicago

University of Chicago

The University of Chicago is a private research university in Chicago, Illinois, USA. It was founded by the American Baptist Education Society with a donation from oil magnate and philanthropist John D. Rockefeller and incorporated in 1890...

 in 1955 under S. S. Chern. 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.

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