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Selberg Zeta functions and transfer ...

Fraczek, Markus Szymon.

Selberg Zeta functions and transfer operatorsan experimental approach to singular perturbations /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Selberg Zeta functions and transfer operatorsby Markus Szymon Fraczek.
Reminder of title:	an experimental approach to singular perturbations /
Author:	Fraczek, Markus Szymon.
Published:	Cham :Springer International Publishing :2017.
Description:	xv, 354 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Selberg trace formula.
Online resource:	http://dx.doi.org/10.1007/978-3-319-51296-9
ISBN:	9783319512969$q(electronic bk.)

Selberg Zeta functions and transfer operatorsan experimental approach to singular perturbations /
Fraczek, Markus Szymon.

Selberg Zeta functions and transfer operatorsan experimental approach to singular perturbations /[electronic resource] :by Markus Szymon Fraczek. - Cham :Springer International Publishing :2017. - xv, 354 p. :ill., digital ;24 cm. - Lecture notes in mathematics,21390075-8434 ;. - Lecture notes in mathematics ;2035..

This book presents a method for evaluating Selberg zeta functions via transfer operators for the full modular group and its congruence subgroups with characters. Studying zeros of Selberg zeta functions for character deformations allows us to access the discrete spectra and resonances of hyperbolic Laplacians under both singular and non-singular perturbations. Areas in which the theory has not yet been sufficiently developed, such as the spectral theory of transfer operators or the singular perturbation theory of hyperbolic Laplacians, will profit from the numerical experiments discussed in this book. Detailed descriptions of numerical approaches to the spectra and eigenfunctions of transfer operators and to computations of Selberg zeta functions will be of value to researchers active in analysis, while those researchers focusing more on numerical aspects will benefit from discussions of the analytic theory, in particular those concerning the transfer operator method and the spectral theory of hyperbolic spaces.

ISBN: 9783319512969$q(electronic bk.)

Standard No.: 10.1007/978-3-319-51296-9doiSubjects--Topical Terms:

741029
Selberg trace formula.

LC Class. No.: QA241

Dewey Class. No.: 515.56

Selberg Zeta functions and transfer operatorsan experimental approach to singular perturbations /
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100 1 $a Fraczek, Markus Szymon. $3 785733
245 1 0 $a Selberg Zeta functions and transfer operators $h [electronic resource] : $b an experimental approach to singular perturbations / $c by Markus Szymon Fraczek.
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300 $a xv, 354 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes in mathematics, $x 0075-8434 ; $v 2139
520 $a This book presents a method for evaluating Selberg zeta functions via transfer operators for the full modular group and its congruence subgroups with characters. Studying zeros of Selberg zeta functions for character deformations allows us to access the discrete spectra and resonances of hyperbolic Laplacians under both singular and non-singular perturbations. Areas in which the theory has not yet been sufficiently developed, such as the spectral theory of transfer operators or the singular perturbation theory of hyperbolic Laplacians, will profit from the numerical experiments discussed in this book. Detailed descriptions of numerical approaches to the spectra and eigenfunctions of transfer operators and to computations of Selberg zeta functions will be of value to researchers active in analysis, while those researchers focusing more on numerical aspects will benefit from discussions of the analytic theory, in particular those concerning the transfer operator method and the spectral theory of hyperbolic spaces.
650 0 $a Selberg trace formula. $3 741029
650 0 $a Transfer operators. $3 785734
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650 2 4 $a Number Theory. $3 274059
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650 2 4 $a Approximations and Expansions. $3 281039
650 2 4 $a Functions of a Complex Variable. $3 275780
650 2 4 $a Special Functions. $3 274846
650 2 4 $a Dynamical Systems and Ergodic Theory. $3 273794
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950 $a Mathematics and Statistics (Springer-11649)