Pseudodifferential Operators with Automorphic Symbols

• Main Author: Unterberger, André (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015.
• Series: Pseudo-Differential Operators, Theory and Applications, 11
• Subjects: Mathematics.; Operator theory.; Number theory.; Operator Theory.; Number Theory.

The main results of this book combine pseudodifferential analysis with modular form and L-function theory, with the help of explicit spectral-theoretic calculations. The starting point is a notion of modular distribution in the plane, which will be new to most readers and which, under the Radon tran...

Table of Contents:

• Introduction
• Basic modular distributions
• From the plane to the half-plane
• A short introduction to the Weyl calculus
• Composition of joint eigenfunctions of (...) and (...)
• The sharp composition of modular distributions
• The operator with symbol (...)
• from non-holomorphic to holomorphic modular forms
• Index.