Quantization and Arithmetic

André Unterberger

ISBN 10: 3764387904 / ISBN 13: 9783764387907

Published by Birkhäuser, 2008

Quantization and Arithmetic | André Unterberger | Taschenbuch | 147 S. | Englisch | 2008 | Birkhäuser | EAN 9783764387907 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Seller Inventory # 101852207

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).

Bibliographic Details

Title: Quantization and Arithmetic
Publisher: Birkhäuser
Publication Date: 2008
Binding: Taschenbuch
Condition: Neu