Buy this book
- 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
Pages 1-9
-
Distributions associated with the non-unitary principal series
Pages 11-15
-
Modular distributions
Pages 17-23
-
The principal series of SL(2, ℝ) and the Radon transform
Pages 25-31
-
Another look at the composition of Weyl symbols
Pages 33-44
-
Table of contents (20 chapters)
Recommended for you
Bibliographic Information
- Bibliographic Information
-
- Book Title
- Quantization and Non-holomorphic Modular Forms
- Authors
-
- 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
*immediately available upon purchase as print book shipments may be delayed due to the COVID-19 crisis. ebook access is temporary and does not include ownership of the ebook. Only valid for books with an ebook version. Springer Reference Works are not included.
