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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
Links to Related Works
Subject References:
Automorphic forms
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Discontinuous groups
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Mathematical Methods in Physics
.
Mathematical Physics
.
Number Theory
.
Operator Theory
.
Pseudodifferential operators
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Quantum groups
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Topological groups, Lie groups
.
Authors:
Unterberger, André
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Corporate Authors:
SpringerLink (Online service)
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Series:
Pseudo-Differential Operators, Theory and Applications
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Classification:
512.482
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512.55
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512.55 (DDC 22)
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