Pseudodifferential Operators with Automorphic Symbols

• Κύριος συγγραφέας: Unterberger, André (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015.
• Σειρά: Pseudo-Differential Operators, Theory and Applications, 11
• Θέματα: 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...

Πίνακας περιεχομένων:

• 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.