Pseudodifferential Operators with Automorphic Symbols

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...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Unterberger, André (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015.
Edition:1st ed. 2015.
Series:Pseudo-Differential Operators, Theory and Applications, 11
Subjects:
Operator theory.
Number theory.
Operator Theory.
Number Theory.
Online Access:Texto Completo
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.

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