Automorphic Forms on SL2 (R) by Armand Borel
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Automorphic Forms on SL2 (R)
By Armand Borel

Automorphic Forms on SL2 (R)

By (author) See other recent books by Armand Borel
Series edited by B. Bollobas See other recent books by B. Bollobas See other recent books by W. Fulton
Format: Hardback

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Automorphic Forms on SL2 (R) by Armand Borel

Book Description

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 G\G 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 (G\G). 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.

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Book Details

ISBN: 9780521580496
ISBN-10: 0521580498
Format: Hardback
(228mm x 152mm x 16mm)
Pages: 208
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 28-Aug-1997
Country of Publication: United Kingdom

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Books By Author Armand Borel

Automorphic Forms on SL2 (R) by Armand Borel Automorphic Forms on SL2 (R), Paperback (August 2008)

An introduction to the analytic theory of automorphic forms in the case of fuchsian groups.

» View all books by Armand Borel

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