Metaplectic groups and Segal algebras /

Metaplectic groups and Segal algebras /

Saved in:

Bibliographic Details
Author / Creator:	Reiter, Hans, 1921-1992.
Imprint:	Berlin ; New York : Springer-Verlag, ©1989.
Description:	1 online resource (xi, 126 pages).
Language:	English
Series:	Lecture notes in mathematics, 0075-8434 ; 1382 Lecture notes in mathematics (Springer-Verlag) ; 1382.
Subject:	Harmonic analysis. Locally compact Abelian groups. Segal algebras. Harmonic analysis. Locally compact Abelian groups. Segal algebras.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11071316

Hidden Bibliographic Details
ISBN:	9783540462101 3540462104 9780387514178 0387514171 9783540514176 3540514171
Notes:	Includes bibliographical references ([125]-126). Print version record.
Summary:	These notes give an account of recent work in harmonic analysis dealing with the analytical foundations of A. Weil's theory of metaplectic groups. It is shown that Weil's main theorem holds for a class of functions (a certain Segal algebra) larger than that of the Schwartz-Bruhat functions considered by Weil. The theorem is derived here from some general results about this class which seems to be a rather natural one in the context of Weil's theory. No previous knowledge of the latter is assumed, however, and the theory is developed here, step by step; Further, a complete discussion of the Segal algebra concerned is given, with references to the literature. Weil's metaplectic groups are somewhat easier to investigate when the characteristic is not 2; the case of characteristic 2 presents some special features which are fully discussed. New problems that arise are indicated.
Other form:	Print version: Reiter, Hans, 1921-1992. Metaplectic groups and Segal algebras. Berlin ; New York : Springer-Verlag, ©1989 0387514171

Description
Summary:	These notes give an account of recent work in harmonic analysis dealing with the analytical foundations of A. Weil's theory of metaplectic groups. It is shown that Weil's main theorem holds for a class of functions (a certain Segal algebra) larger than that of the Schwartz-Bruhat functions considered by Weil. The theorem is derived here from some general results about this class which seems to be a rather natural one in the context of Weil's theory. No previous knowledge of the latter is assumed, however, and the theory is developed here, step by step; Further, a complete discussion of the Segal algebra concerned is given, with references to the literature. Weil's metaplectic groups are somewhat easier to investigate when the characteristic is not 2; the case of characteristic 2 presents some special features which are fully discussed. New problems that arise are indicated.
Physical Description:	1 online resource (xi, 126 pages).
Bibliography:	Includes bibliographical references ([125]-126).
ISBN:	9783540462101 3540462104 9780387514178 0387514171 9783540514176 3540514171
ISSN:	0075-8434 ;