ENGLISH

Pseudodifferential Operators with Automorphic Symbols

By André Unterberger (auth.)

Book information

Publisher
Birkhäuser Basel
Year
2015
ISBN
978-3-319-18656-6, 978-3-319-18657-3
DOI
10.1007/978-3-319-18657-3
Language
english
Format
PDF
Filesize
2 MB (2616758 bytes)
Series
Pseudo-Differential Operators 11
Edition
1
Pages
202\208
Time added
2015-07-18 18:00:00
Operator Theory; Number Theory

Description

The main results of this book combine pseudo differential analysis with modular form theory. The methods rely for the most part on explicit spectral theory and the extended use of special functions. The starting point is a notion of modular distribution in the plane, which will be new to most readers and relates under the Radon transformation to the classical one of modular form of the non-holomorphic type. Modular forms of the holomorphic type are addressed too in a more concise way, within a general scheme dealing with quantization theory and elementary, but novel, representation-theoretic concepts.

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