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)

  • Introduction

    Unterberger, André

    Pages 1-9

    Preview Buy Chapter 30,19 €
  • Distributions associated with the non-unitary principal series

    Unterberger, André

    Pages 11-15

    Preview Buy Chapter 30,19 €
  • Modular distributions

    Unterberger, André

    Pages 17-23

    Preview Buy Chapter 30,19 €
  • The principal series of SL(2, ℝ) and the Radon transform

    Unterberger, André

    Pages 25-31

    Preview Buy Chapter 30,19 €
  • Another look at the composition of Weyl symbols

    Unterberger, André

    Pages 33-44

    Preview Buy Chapter 30,19 €

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