Lecture Notes in Mathematics

Quantization and Non-holomorphic Modular Forms

Authors: Unterberger, André

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About this book

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)

Table of contents (20 chapters)

Buy this book

eBook 32,99 €
price for Spain (gross)
  • ISBN 978-3-540-44660-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 41,55 €
price for Spain (gross)
  • ISBN 978-3-540-67861-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Quantization and Non-holomorphic Modular Forms
Authors
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