Generalized Functions: Representation Theory and Automorphic Functions

by Israel M. Gelfand

In the final volume of the series, Gel'fand, Graev, and Pyatetskii-Shapiro continue the discussion of representation theory from Volume Five and examine automorphic functions. They begin by looking at problems of representation theory and the theory or automorphic functions connected with a Lie group and a discrete subgroup to it. Then they construct the theory of representations of the group of matrices in order Two with elements from an arbitrary locally compact topological field. They conclude with a study of the group of adeles and the natural homogeneous spaces that arise in connection with these groups. They do not assume readers to be familiar with adele groups, so provide an expository account of the basic ideas. Annotation ©2016 Ringgold, Inc., Portland, OR (protoview.com)

426 pages, Hardcover

First published July 1, 1990

About the author

Israel Moiseevich Gelfand, also written Israïl Moyseyovich Gel'fand, or Izrail M. Gelfand (Yiddish: ישראל געלפֿאַנד‎, Russian: Израиль Моисеевич Гельфанд ; 2 September [O.S. 20 August] 1913 – 5 October 2009) was a prominent Soviet mathematician. He made significant contributions to many branches of mathematics, including group theory, representation theory and functional analysis. The recipient of many awards, including the Order of Lenin and the Wolf Prize, he was a Fellow of the Royal Society and professor at Moscow State University and, after immigrating to the United States shortly before his 76th birthday, at Rutgers University.