Selberg Zeta Functions and Transfer Operators: An Experimental Approach to Singular Perturbations (Lecture Notes in Mathematics, Band 2139)

Name: Selberg Zeta Functions and Transfer Operators: An Experimental Approach to Singular Perturbations (Lecture Notes in Mathematics, Band 2139)
Brand: Springer
Availability: OutOfStock
Rating: 5 (1 reviews)

By Fraczek, Markus Szymon Szymon

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Description

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.

Product details

Binding:

Paperback

Edition:

1

Number of Pages:

372

Release Date:

2017-05-14

Publication Date:

2017-05-14

Publisher:

Springer

Languages:

Published: English, Original: English

ISBN10:

3319512943

GPSR Manufacturer Reference:

[email protected]

Weight:

726 g

Height:

23.5 cm

Width:

15.5 cm

Thickness:

2.1 cm

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