Calculus

Automorphic Forms on Sl2 (R)

Name: Automorphic Forms on Sl2 (R)
Brand: Cambridge University Press
SKU: 9780521580496
Price: 15262.00 INR
Availability: InStock
ISBN: 9780521580496

AUTOMORPHIC FORMS ON SL2 (R)

Contributor(s): Borel, Armand Author , Bollobas, Bela Editor , Fulton, W. Editor Format: Hardback

Hardback · ISBN 9780521580496

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Key Specifications

ISBN	9780521580496
Subtitle	AUTOMORPHIC FORMS ON SL2 (R)
Publisher	Cambridge University Press
Publication date	November 1997
Language	English
MRP	£121.00 GBP
Page count	208
Item weight	106 g

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 D*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 D*G\G and its relationship with the classical automorphic forms on X, Poincaré 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( D*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.

Automorphic Forms on Sl2 (R)

Key Specifications

Borel, Armand Author

Bollobas, Bela Editor

Fulton, W. Editor

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