Louis Auslander (July 12, 1928 – February 25, 1997) was a Jewish American mathematician.[1] 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.
Louis Auslander was married twice, first for over 25 years to Elinor Newstadt Auslander, with whom he had three children (Nathan, Rose, and Daniel), and later to Fernande Couturier Auslander.[3] His brother Maurice Auslander was also a mathematician.[4]
with L. Markus: Flat Lorentz 3-Manifolds, AMS 1957
with Robert MacKenzie: Introduction to differentiable Manifolds, McGraw Hill 1963[5]
with Leon W. Green and Frank J. Hahn: Flows on homogeneous spaces, Princeton University Press 1963 (with the assistance of Lawrence Markus and William S. Massey and an appendix by L. Greenberg)[6]