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Nome campo	dettagli
Dewey Class	512.7
Titolo	Explicit Formulas for Regularized Products and Series ([EBook] /) / by Jay Jorgenson, Serge Lang, Dorian Goldfeld.
Autore	Jorgenson, Jay
Added Personal Name	Lang, Serge author.
Added Personal Name	Goldfeld, Dorian author.
Other name(s)	SpringerLink (Online service)
Pubblicazione	Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1994.
Physical Details	VIII, 160 p. : online resource.
Serie	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
Link alle Opere Legate	Riferimenti soggetto: . 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 . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 512.7 .

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Explicit Formulas for Regularized Products and Series

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