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Explicit Formulas for Regularized Products and Series
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Catalogue Information
Field name
Details
Dewey Class
512.7
Title
Explicit Formulas for Regularized Products and Series ([EBook] /) / by Jay Jorgenson, Serge Lang, Dorian Goldfeld.
Author
Jorgenson, Jay
Added Personal Name
Lang, Serge
author.
Goldfeld, Dorian
author.
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1994.
Physical Details
VIII, 160 p. : online resource.
Series
Lecture Notes in Mathematics
0075-8434 ; ; 1593
ISBN
9783540490418
Summary Note
The theory of explicit formulas for regularized products and series forms a natural continuation of the analytic theory developed in LNM 1564. These explicit formulas can be used to describe the quantitative behavior of various objects in analytic number theory and spectral theory. The present book deals with other applications arising from Gaussian test functions, leading to theta inversion formulas and corresponding new types of zeta functions which are Gaussian transforms of theta series rather than Mellin transforms, and satisfy additive functional equations. Their wide range of applications includes the spectral theory of a broad class of manifolds and also the theory of zeta functions in number theory and representation theory. Here the hyperbolic 3-manifolds are given as a significant example.:
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/BFb0074039
Links to Related Works
Subject References:
Analysis
.
Analysis (Mathematics)
.
Differential Geometry
.
Lie groups
.
Mathematical analysis
.
Mathematics
.
Number Theory
.
Topological groups
.
Topological groups, Lie groups
.
Authors:
Goldfeld, Dorian
.
Jorgenson, Jay
.
Lang, Serge
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Corporate Authors:
SpringerLink (Online service)
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Series:
Lecture Notes in Mathematics
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Classification:
512.7
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