Quantization and Arithmetic: Volume 1 - Brossura

Unterberger, Andre

 
9783764387907: Quantization and Arithmetic: Volume 1

Sinossi

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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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

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Altre edizioni note dello stesso titolo

9783764398378: Quantization and Arithmetic

Edizione in evidenza

ISBN 10:  376439837X ISBN 13:  9783764398378
Casa editrice: Springer, 2009
Brossura