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- About this book
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This is a new approach to the theory of non-holomorphic modular forms, based on ideas from quantization theory or pseudodifferential analysis. Extending the Rankin-Selberg method so as to apply it to the calculation of the Roelcke-Selberg decomposition of the product of two Eisenstein series, one lets Maass cusp-forms appear as residues of simple, Eisenstein-like, series. Other results, based on quantization theory, include a reinterpretation of the Lax-Phillips scattering theory for the automorphic wave equation, in terms of distributions on R2 automorphic with respect to the linear action of SL(2,Z).
- Table of contents (20 chapters)
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Introduction
Pages 1-9
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Distributions associated with the non-unitary principal series
Pages 11-15
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Modular distributions
Pages 17-23
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The principal series of SL(2, ℝ) and the Radon transform
Pages 25-31
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Another look at the composition of Weyl symbols
Pages 33-44
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Table of contents (20 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Quantization and Non-holomorphic Modular Forms
- Authors
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- André Unterberger
- Series Title
- Lecture Notes in Mathematics
- Series Volume
- 1742
- Copyright
- 2000
- Publisher
- Springer-Verlag Berlin Heidelberg
- Copyright Holder
- Springer-Verlag Berlin Heidelberg
- eBook ISBN
- 978-3-540-44660-6
- DOI
- 10.1007/BFb0104036
- Softcover ISBN
- 978-3-540-67861-8
- Series ISSN
- 0075-8434
- Edition Number
- 1
- Number of Pages
- X, 258
- Topics
