作者 Reiter, Hans, 1921-1992
書名 Metaplectic groups and Segal algebras [electronic resource] / Hans Reiter
出版項 Berlin ; New York : Springer-Verlag, ©1989
國際標準書號 9783540462101 (electronic bk.)
3540462104 (electronic bk.)
book jacket
說明 1 online resource (xi, 126 pages)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
系列 Lecture notes in mathematics, 0075-8434 ; 1382
Lecture notes in mathematics (Springer-Verlag) ; 1382
附註 Includes bibliographical references ([125]-126)
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
Description based on print version record
鏈接 Print version: Reiter, Hans, 1921-1992. Metaplectic groups and Segal algebras. Berlin ; New York : Springer-Verlag, ©1989 0387514171 (DLC) 89021603 (OCoLC)20170931
主題 Harmonic analysis
Locally compact Abelian groups
Segal algebras
Groupes localement compacts
Harmonic analysis. fast (OCoLC)fst00951490
Locally compact Abelian groups. fast (OCoLC)fst01001671
Segal algebras. fast (OCoLC)fst01111201
Metaplektische Gruppe. swd
Segal-Algebra. swd
Electronic books