Automorphic Forms on SL2 (R)
by Armand Borel
Format: Paperback
ISBN13: 9780521072120
Paperback|9780521072120
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Overview
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.
| ISBN-13 | 9780521072120 |
|---|---|
| ISBN-10 | 0521072123 |
| Weight | 0.75 Pounds |
| Dimensions | 6.00 x 0.52 x 9.00 In |
| List Price | $62.99 |
| Edition | 1st Edition |
| Format | Paperback |
|---|---|
| Language | English |
| Pages | 208 pages |
| Publisher | Cambridge University Press |
| Published On | 2008-08-14 |
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