Pseudodifferential Operators with Automorphic Symbols: 11 (Pseudo-Differential Operators, 11) - Softcover

Unterberger, André

Softcover

ISBN 10: 3319186566 ISBN 13: 9783319186566

Publisher: Birkhäuser, 2015

Synopsis

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.

About this title

From the Back Cover

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.

Edition details

• Publisher: Birkhäuser
• Publication date: 2015
• Language: English
• ISBN 10: 3319186566
• ISBN 13: 9783319186566
• Binding: Paperback
• Number of pages: 212