المصدر: Quantization and Arithmetic (Pseudo-Differential Operators) في منتدى : قسم الرياضيات Quantization and Arithmetic (Pseudo-Differential Operators) By André Unterberger Publisher: Birkhäuser Basel Number Of Pages: 147 Publication Date: 2008-08-06 ISBN-10 / ASIN: 3764387904 ISBN-13 / EAN: 9783764387907 Binding: Paperback Product Description: 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). Code
