National Science Library of Georgia

Spectral decomposition and Eisenstein series : (Record no. 517761)

MARC details
000 -LEADER
fixed length control field 03445nam a22004218i 4500
001 - CONTROL NUMBER
control field CR9780511470905
003 - CONTROL NUMBER IDENTIFIER
control field UkCbUP
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20200124160232.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION
fixed length control field m|||||o||d||||||||
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr||||||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 090122s1995||||enk o ||1 0|eng|d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780511470905 (ebook)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 9780521418935 (hardback)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 9780521070355 (paperback)
040 ## - CATALOGING SOURCE
Original cataloging agency UkCbUP
Language of cataloging eng
Description conventions rda
Transcribing agency UkCbUP
050 00 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA295
Item number .M62 1995
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515/.243
Edition number 20
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Moeglin, Colette,
Dates associated with a name 1953-
Relator term author.
245 10 - TITLE STATEMENT
Title Spectral decomposition and Eisenstein series :
Remainder of title une paraphrase de l'écriture /
Statement of responsibility, etc C. Moeglin, J.-L. Waldspurger.
246 3# - VARYING FORM OF TITLE
Title proper/short title Spectral Decomposition & Eisenstein Series
264 #1 - Production, Publication, Distribution, Manufacture, and Copyright Notice (R)
Place of production, publication, distribution, manufacture (R) Cambridge :
Name of producer, publisher, distributor, manufacturer (R) Cambridge University Press,
Date of production, publication, distribution, manufacture, or copyright notice 1995.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (xxvii, 338 pages) :
Other physical details digital, PDF file(s).
336 ## - Content Type (R)
Content type term (R) text
Content type code (R) txt
Source (NR) rdacontent
337 ## - Media Type (R)
Media type term (R) computer
Media type code (R) c
Source (NR) rdamedia
338 ## - Carrier Type (R)
Carrier type term (R) online resource
Carrier type code (R) cr
Source (NR) rdacarrier
490 1# - SERIES STATEMENT
სერიის ცნობა Cambridge tracts in mathematics ;
Volume number/sequential designation 113
500 ## - GENERAL NOTE
General note Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note I. Hypotheses, automorphic forms, constant terms. I.1. Hypotheses and general notation. I.2. Automorphic forms: growth, constant terms. I.3. Cuspidal components. I.4. Upper bounds as functions of the constant term -- II. Decomposition according to cuspidal data. II. 1. Definitions. II. 2. Calculation of the scalar product of two pseudo-Eisenstein series -- III. Hilbertian operators and automorphic forms. III. 1. Hilbertian operators. III. 2. A decomposition of the space of automorphic forms. III. 3. Cuspidal exponents and square integrable automorphic forms -- IV. Continuation of Eisenstein series. IV. 1. The results. IV. 2. Some preparations. IV. 3. The case of relative rank 1. IV. 4. The general case -- V. Construction of the discrete spectrum via residues. V.1. Generalities and the residue theorem. V.2. Decomposition of the scalar product of two pseudo-Eisenstein series. V.3. Decomposition along the spectrum of the operators [Delta](f).
520 ## - SUMMARY, ETC.
Summary, etc The decomposition of the space L2(G(Q)\G(A)), where G is a reductive group defined over Q and A is the ring of adeles of Q, is a deep problem at the intersection of number and group theory. Langlands reduced this decomposition to that of the (smaller) spaces of cuspidal automorphic forms for certain subgroups of G. This book describes this proof in detail. The starting point is the theory of automorphic forms, which can also serve as a first step towards understanding the Arthur-Selberg trace formula. To make the book reasonably self-contained, the authors also provide essential background in subjects such as: automorphic forms; Eisenstein series; Eisenstein pseudo-series, and their properties. It is thus also an introduction, suitable for graduate students, to the theory of automorphic forms, the first written using contemporary terminology. It will be welcomed by number theorists, representation theorists and all whose work involves the Langlands program.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Eisenstein series.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Automorphic forms.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Spectral theory (Mathematics)
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Decomposition (Mathematics)
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Waldspurger, Jean-Loup,
Dates associated with a name 1953-
Relator term author.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Print version:
International Standard Book Number 9780521418935
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Cambridge tracts in mathematics ;
Volume number/sequential designation 113.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://doi.org/10.1017/CBO9780511470905">https://doi.org/10.1017/CBO9780511470905</a>

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