Pseudodifferential Analysis, Automorphic Distributions in the Plane and Modular Forms

• Main Author: Unterberger, André (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Springer Basel, 2011.
• Series: Pseudo-Differential Operators, Theory and Applications ; 8
• Subjects: Mathematics.; Operator theory.; Number theory.; Number Theory.; Operator Theory.

Pseudodifferential analysis, introduced in this book in a way adapted to the needs of number theorists, relates automorphic function theory in the hyperbolic half-plane Π to automorphic distribution theory in the plane. Spectral-theoretic questions are discussed in one or the other environment: in t...

Table of Contents:

• Introduction
• The Weyl calculus
• The Radon transformation and applications
• Automorphic functions and automorphic distributions
• A class of Poincaré series
• Spectral decomposition of the Poincaré summation process
• The totally radial Weyl calculus and arithmetic
• Should one generalize the Weyl calculus to an adelic setting?
• Index of notation
• Subject Index
• Bibliography.