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
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:
Online Access:Full Text via HEAL-Link
Description
Summary: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 transformation, relates to the classical notion of non-holomorphic modular form. Holomorphic modular forms are also briefly considered, within a general scheme that addresses quantization theory and elementary but novel representation-theoretic concepts.
Physical Description:X, 202 p. online resource.
ISBN:9783319186573
ISSN:2297-0355 ;