An edition of Automorphic forms on SL₂(R) (1997)

Automorphic forms on SL₂(R)

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Last edited by MARC Bot
May 2, 2025 | History
An edition of Automorphic forms on SL₂(R) (1997)

Automorphic forms on SL₂(R)

This book provides an introduction to some aspects of the analytic theory of automorphic forms on G=SL2(R) or the upper-half plane X, with respect to a discrete subgroup G of G of finite covolume. The point of view is inspired by the theory of infinite dimensional unitary representations of G; this is introduced in the last sections, making this connection explicit. The topics treated include the construction of fundamental domains, the notion of automorphic form on GG and its relationship with the classical automorphic forms on X, Poincare series, constant terms, cusp forms, finite dimensionality of the space of automorphic forms of a given type, compactness of certain convolution operators, Eisenstein series, unitary representations of G, and the spectral decomposition of L2 (GG). The main prerequisites are some results in functional analysis (reviewed, with references) and some familiarity with the elementary theory of Lie groups and Lie algebras. Graduate students and researchers in analytic number theory will find much to interest them in this book.

Publish Date
Language
English
Pages
192

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Edition Availability
Cover of: Automorphic forms on SL₂(R)
Automorphic forms on SL₂(R)
1997, Cambridge University Press
in English

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Book Details


Edition Notes

Includes bibliographical references (p. 185-187) and indexes.

Published in
Cambridge, U.K, New York, NY, USA
Series
Cambridge tracts in mathematics ;, 130

Classifications

Dewey Decimal Class
515/.9
Library of Congress
QA331 .B687 1997

The Physical Object

Pagination
x, 192 p. ;
Number of pages
192

Edition Identifiers

Open Library
OL660636M
ISBN 10
0521580498
LCCN
97006027
OCLC/WorldCat
36461643
LibraryThing
4695960
Goodreads
5119146

Work Identifiers

Work ID
OL1726058W

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May 2, 2025 Edited by MARC Bot import existing book
December 26, 2022 Edited by MARC Bot import existing book
November 25, 2020 Edited by MARC Bot import existing book
August 23, 2020 Edited by ImportBot import existing book
April 1, 2008 Created by an anonymous user Imported from Scriblio MARC record