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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Unterberger, André (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Basel : Springer Basel, 2011.
Σειρά:Pseudo-Differential Operators, Theory and Applications ; 8
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • 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.