Metaplectic Groups and Segal Algebras (Record no. 11552)

MARC details
000 -LEADER
fixed length control field 03181nam a22005055i 4500
001 - CONTROL NUMBER
control field 978-3-540-46210-1
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20190213151705.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 121227s1989 gw | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783540462101
-- 978-3-540-46210-1
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/BFb0093683
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA252.3
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA387
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBG
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT014000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBG
Source thema
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.55
Edition number 23
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.482
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Reiter, Hans.
Relator term author.
Relator code aut
-- http://id.loc.gov/vocabulary/relators/aut
245 10 - TITLE STATEMENT
Title Metaplectic Groups and Segal Algebras
Medium [electronic resource] /
Statement of responsibility, etc by Hans Reiter.
264 #1 -
-- Berlin, Heidelberg :
-- Springer Berlin Heidelberg :
-- Imprint: Springer,
-- 1989.
300 ## - PHYSICAL DESCRIPTION
Extent XIV, 134 p.
Other physical details online resource.
336 ## -
-- text
-- txt
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-- computer
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-- rdamedia
338 ## -
-- online resource
-- cr
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347 ## -
-- text file
-- PDF
-- rda
490 1# - SERIES STATEMENT
Series statement Lecture Notes in Mathematics,
International Standard Serial Number 0075-8434 ;
Volume number/sequential designation 1382
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Preliminaries from harmonic analysis and group theory -- Segal algebras; the Segal algebra G 1 (G) -- Weil’s unitary operators and the Segal algebra G 1 (G) -- Weil’s group of operators and related groups -- Vector spaces and quadratic forms ever local fields -- Properties of certain quadratic forms -- Weil operators for vector spaces over local fields -- The metaplectic group (local case); Segal continuity -- The metaplectic group and Segal continuity in the adelic case -- Weil’s theorem 6.
520 ## - SUMMARY, ETC.
Summary, etc 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.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Topological Groups.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Number theory.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Topological Groups, Lie Groups.
-- http://scigraph.springernature.com/things/product-market-codes/M11132
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Number Theory.
-- http://scigraph.springernature.com/things/product-market-codes/M25001
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783662192009
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783540514176
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Lecture Notes in Mathematics,
-- 0075-8434 ;
Volume number/sequential designation 1382
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier https://doi.org/10.1007/BFb0093683
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