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1 online resource (xi, 126 pages) 

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系列 
Lecture notes in mathematics, 00758434 ; 1382


Lecture notes in mathematics (SpringerVerlag) ; 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 SchwartzBruhat 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, 19211992. Metaplectic groups and Segal algebras.
Berlin ; New York : SpringerVerlag, ©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


SegalAlgebra. swd


Electronic books

