Quantization and Arithmetic: Volume 1 - Brossura

Unterberger, Andre

Brossura

ISBN 10: 3764387904 ISBN 13: 9783764387907

Casa editrice: Birkhäuser Basel, 2008

Riassunto

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).

Su questo libro

Contenuti

Weyl Calculus and Arithmetic.- Quantization.- Quantization and Modular Forms.- Back to the Weyl Calculus.

Product Description

Quantization And Arithmetic, Andre Unterberger, 9783764387907, Springer/Birkhauser, 2008, Paperback

Dettagli dell'edizione

• Editore: Birkhäuser Basel
• Data di pubblicazione: 2008
• Lingua: Inglese
• ISBN 10: 3764387904
• ISBN 13: 9783764387907
• Rilegatura: Copertina flessibile
• Numero di pagine: 160
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile