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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Automorphic Forms on Sl2 (R)

Automorphic Forms on Sl2 (R)

Borel, Armand
Bollobas, Bela
Fulton, W.

Hardcover

Series: Cambridge Tracts in Mathematics, Book 130

CalculusGeneral Mathematics

ISBN10: 0521580498
ISBN13: 9780521580496
Publisher: Cambridge University Press
Published: Aug 28 1997
Pages: 208
Weight: 1.05
Height: 0.63 Width: 6.00 Depth: 9.00
Language: English
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.

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