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Pseudodifferential Operators with Automorphic Symbols

Pseudodifferential Operators with Automorphic Symbols

Paperback

Series: Pseudo-Differential Operators, Book 11

General Mathematics

ISBN10: 3319186566
ISBN13: 9783319186566
Publisher: Birkhauser
Published: Jun 26 2015
Pages: 202
Weight: 0.77
Height: 0.46 Width: 6.69 Depth: 9.61
Language: English
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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General Mathematics