Metaplectic groups and Segal algebras

＜図書＞
Metaplectic groups and Segal algebras

責任表示	Hans Reiter
シリーズ	Lecture notes in mathematics ; 1382
データ種別	図書
出版情報	Berlin ; Tokyo : Springer-Verlag , c1989
本文言語	英語
大きさ	xi, 126 p. ; 25 cm
概要	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 cla...s 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. 続きを見る
電子版へのリンク	https://hdl.handle.net/2324/7018680

一般注記	Bibliography: p. [125]-126 Includes index
著者標目	*Reiter, Hans, 1921-
件　名	LCSH:Harmonic analysis LCSH:Locally compact Abelian groups LCSH:Segal algebras
分　類	LCC:QA403 DC20:515/.2433 NDC8:410.8
書誌ID	1000030624
ISBN	3540514171
NCID	BA07223007
巻冊次	: gw ; ISBN:3540514171 : us ; ISBN:0387514171
登録日	2009.09.10
更新日	2017.02.18