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Selberg Zeta functions and transfer operators = an experimental approach to singular perturbations /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Selberg Zeta functions and transfer operators/ by Markus Szymon Fraczek.
其他題名:	an experimental approach to singular perturbations /
作者:	Fraczek, Markus Szymon.
出版者:	Cham :Springer International Publishing : : 2017.,
面頁冊數:	xv, 354 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Selberg trace formula. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-51296-9
ISBN:	9783319512969

Selberg Zeta functions and transfer operators = an 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 ;1943..

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

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

1106170
Selberg trace formula.

LC Class. No.: QA241

Dewey Class. No.: 515.56

Selberg Zeta functions and transfer operators = an experimental approach to singular perturbations /
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