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Quantization and Arithmetic

Quantization and Arithmetic
Catalogue Information
Field name Details
Dewey Class 512.55
512.482
Title Quantization and Arithmetic ([Ebook]) / by André Unterberger.
Author Unterberger, André
Other name(s) SpringerLink (Online service)
Publication Basel : Birkhäuser , 2008.
Physical Details 147 pages : online resource.
Series Pseudo-Differential Operators, Theory and Applications ; 1
ISBN 9783764387914
Summary Note The primary aim of this book is to create situations in which the zeta function, or other L-functions, will appear in spectral-theoretic questions. A secondary aim is to connect pseudo-differential analysis, or quantization theory, to analytic number theory. Both are attained through the analysis of operators on functions on the line by means of their diagonal matrix elements against families of arithmetic coherent states: these are families of discretely supported measures on the line, transforming in specific ways under the part of the metaplectic representation or, more generally, representations from the discrete series of SL(2,R), lying above an arithmetic group such as SL(2,Z).:
Contents note Foreword -- Introduction -- Chapter 1. Weyl calculus and arithmetic -- Chapter 2. Quantization -- Chapter 3. Quantization and modular forms -- Bibliography -- Index.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site http://dx.doi.org/10.1007/978-3-7643-8791-4
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