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Automorphic Forms on SL2 (R) - Cambridge Tracts in Mathematics 130 (Hardback)
  • Automorphic Forms on SL2 (R) - Cambridge Tracts in Mathematics 130 (Hardback)
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Automorphic Forms on SL2 ® - Cambridge Tracts in Mathematics 130 (Hardback)

(author)
£88.00
Hardback 208 Pages / Published: 28/08/1997
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This book provides an introduction to some aspects of the analytic theory of automorphic forms on G=SL2® 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.

Publisher: Cambridge University Press
ISBN: 9780521580496
Number of pages: 208
Weight: 480 g
Dimensions: 228 x 152 x 16 mm


MEDIA REVIEWS
Review of the hardback: 'This text will serve as an admirable introduction to harmonic analysis as it appears in contemporary number theory and algebraic geometry.' Victor Snaith, Bulletin of the London Mathematical Society
Review of the hardback: '... carefully and concisely written ... Clearly every mathematical library should have this book.' Zentralblatt

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