Title Statements
- Full title :Spectral methods of automorphic forms / Henryk Iwaniec.
Edition Statements
- Publication Date:©2002.
- Edition:2nd ed
Publication Statements
- Publisher(s):American mathematical Society
- Place of Publication:Providence, R.I
- Language:eng
- Publication Date:©2002.
Notes
First ed. published in Revista matemática iberoamericana in 1995.
The Physical Object
- Description:xi, 220 pages : : illustrations ; : 27 cm.
Edition Identifiers
- ISBN:0821831607, 9780821831601, 9781470466220 #q (acid-free paper), 1470466228 #q (acid-free paper)
- oclc:ocm50280013
- LC Classification:QA353.A9
- Dewey Decimal:511.3/3
Table of Contents
Preface to the AMS Edition -- Ch. 0. Harmonic Analysis on the Euclidean Plane -- Ch. 1. Harmonic Analysis on the Hyperbolic Plane -- 1.1. The upper half-plane -- 1.2. H as homogeneous space -- 1.3. The geodesic polar coordinates -- 1.4. Group decompositions -- 1.5. The classification of motions -- 1.6. The Laplace operator -- 1.7. Eigenfunctions of [Delta] -- 1.8. The invariant integral operators -- 1.9. The Green function on H -- Ch. 2. Fuchsian Groups -- 2.1. Definitions -- 2.2. Fundamental domains -- 2.3. Basic examples -- 2.4. The double coset decomposition -- 2.5. Kloosterman sums -- 2.6. Basic estimates -- Ch. 3. Automorphic Forms -- 3.1. Introduction -- 3.2. The Eisenstein series -- 3.3. Cusp forms -- 3.4. Fourier expansion of the Eisenstein series -- Ch. 4. The Spectral Theorem. Discrete Part -- 4.1. The automorphic Laplacian -- 4.2. Invariant integral operators of C([Gamma]) -- 4.3. Spectral resolution of [Delta] in C([Gamma]) -- Ch. 5. The Automorphic Green Function -- 5.1. Introduction -- 5.2. The Fourier expansion -- 5.3. An estimate for the automorphic Green function -- 5.4. Evaluation of some integrals -- Ch. 6. Analytic Continuation of the Eisenstein Series -- 6.1. …
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