Quantization and Arithmetic: Volume 1 - Couverture souple

Livre 1 sur 14: Pseudo-Differential Operators

Unterberger, Andre

 
9783764387907: Quantization and Arithmetic: Volume 1
Couverture souple
ISBN 10 : 3764387904 ISBN 13 : 9783764387907
Editeur : Birkhäuser Basel, 2008

Synopsis

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).

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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).

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Birkhäuser Basel
Date d'édition
2008
Langue
anglais
ISBN 10 
3764387904
ISBN 13 
9783764387907
Reliure
Broché
Nombre de pages
160
Coordonnées du fabricant
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Poststr. 9
Darmstadt
64293
Allemagne

Autres éditions populaires du même titre

9783764398378: Quantization and Arithmetic

Edition présentée

ISBN 10 :  376439837X ISBN 13 :  9783764398378
Editeur : Springer, 2009
Couverture souple