Pseudodifferential Analysis, Automorphic Distributions in the Plane and Modular Forms

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...

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Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Unterberger, André (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:Inglés
Publié: Basel : Springer Basel : Imprint: Birkhäuser, 2011.
Édition:1st ed. 2011.
Collection:Pseudo-Differential Operators, Theory and Applications, 8
Sujets:
Number theory.
Operator theory.
Number Theory.
Operator Theory.
Accès en ligne:Texto Completo
Table des matières:
  • 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.

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