Quantization and Arithmetic: Volume 1 (Pseudo-Differential Operators, 1, Band 1) - Softcover

Buch 1 von 14: Pseudo-Differential Operators

Unterberger, Andre

 
9783764387907: Quantization and Arithmetic: Volume 1 (Pseudo-Differential Operators, 1, Band 1)
Softcover
ISBN 10: 3764387904 ISBN 13: 9783764387907
Verlag: Birkhäuser Basel, 2008

Inhaltsangabe

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).

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Verlag
Birkhäuser Basel
Erscheinungsdatum
2008
Sprache
Englisch
ISBN 10 
3764387904
ISBN 13 
9783764387907
Einband
Taschenbuch
Anzahl der Seiten
160
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