Happy Holidays—Our $30 Gift Card just for you, and books ship free! Shop now>>

Pseudo-Differential Operators

Pseudodifferential Operators with Automorphic Symbols

Authors: Unterberger, André

Free Preview
  • Features a complete study of pseudodifferential operators with automorphic symbols
  • Covers a complete analysis of link between modular distributions (in the plane) and non-holomorphic modular forms in the half-plane
  • Includes an introduction to the case of holomorphic modular forms, linked to the new anaplectic representation and symbolic calculus
see more benefits

Buy this book

eBook $64.99
price for USA in USD (gross)
  • ISBN 978-3-319-18657-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $84.99
price for USA in USD
  • ISBN 978-3-319-18656-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

The main results of this book combine pseudo differential analysis with modular form theory. The methods rely for the most part on explicit spectral theory and the extended use of special functions. The starting point is a notion of modular distribution in the plane, which will be new to most readers and relates under the Radon transformation to the classical one of modular form of the non-holomorphic type. Modular forms of the holomorphic type are addressed too in a more concise way, within a general scheme dealing with quantization theory and elementary, but novel, representation-theoretic concepts.

Reviews

“The book under review is devoted to developing a satisfactory Weyl calculus on the class of tempered automorphic distributions under the group SL(2, Z). … The book is … readable and is an interesting introduction to the subject. The main ideas are explained in detail and illustrated by exact computations.” (Đỗ Ngọc Diệp, Mathematical Reviews, December, 2015)


Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook $64.99
price for USA in USD (gross)
  • ISBN 978-3-319-18657-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $84.99
price for USA in USD
  • ISBN 978-3-319-18656-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Pseudodifferential Operators with Automorphic Symbols
Authors
Series Title
Pseudo-Differential Operators
Series Volume
11
Copyright
2015
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-18657-3
DOI
10.1007/978-3-319-18657-3
Softcover ISBN
978-3-319-18656-6
Series ISSN
2297-0355
Edition Number
1
Number of Pages
X, 202
Topics