Synopsis
An introduction to the analytic theory of automorphic forms in the case of fuchsian groups.
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Review
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
Book Description
An introduction to the analytic theory of automorphic forms, limited to the case of fuchsian groups, but from the point of view of the general theory, ending with an introduction to unitary infinite dimensional representations. The main prerequisites are familiarity with functional analysis and elementary Lie theory.
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Automorphic Forms on SL2 (R) (Cambridge Tracts in Mathematics, Series Number 130)
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Automorphic Forms on Sl2 R
Published by
Cambridge University Press, 2008
ISBN 10: 0521072123
ISBN 13: 9780521072120
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Automorphic Forms on SL2 (R) (Paperback)
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ISBN 10: 0521072123
ISBN 13: 9780521072120
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Paperback. Condition: new. Paperback. 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. An introduction to the analytic theory of automorphic forms, limited to the case of fuchsian groups, but from the point of view of the general theory, ending with an introduction to unitary infinite dimensional representations. The main prerequisites are familiarity with functional analysis and elementary Lie theory. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521072120
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Automorphic Forms on SL2 (R) (Cambridge Tracts in Mathematics, Series Number 130) (Volume 0)
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ISBN 10: 0521072123
ISBN 13: 9780521072120
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Automorphic Forms on Sl2 R
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ISBN 13: 9780521072120
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Automorphic Forms on SL2 (R) (Cambridge Tracts in Mathematics, Series Number 130) (Volume 0)
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ISBN 13: 9780521072120
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Automorphic Forms on SL2 (R) (Cambridge Tracts in Mathematics)
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Automorphic Forms on Sl2 R
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Automorphic Forms on SL2 (R) (Cambridge Tracts in Mathematics, Series Number 130)
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Cambridge University Press, 2009
ISBN 10: 0521072123
ISBN 13: 9780521072120
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Condition: New. An introduction to the analytic theory of automorphic forms in the case of fuchsian groups. Series: Cambridge Tracts in Mathematics. Num Pages: 208 pages, black & white illustrations. BIC Classification: PBKD. Category: (P) Professional & Vocational. Dimension: 234 x 172 x 13. Weight in Grams: 318. . 2009. 1st Edition. paperback. . . . . Seller Inventory # V9780521072120
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