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Selberg Zeta Functions and Transfer Operators : An Experimental Approach to Singular Perturbations / by Markus Szymon Fraczek.
Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2366,2368-2379,2381-2382 2385,2388-2389
Mixed Availability
LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Author/Creator:
- Fraczek, Markus Szymon, author.
- Series:
- Lecture Notes in Mathematics, 0075-8434 ; 2139.
- Lecture Notes in Mathematics, 0075-8434 ; 2139
- Language:
- English
- Subjects (All):
- Mathematics.
- Approximation theory.
- Dynamics.
- Ergodic theory.
- Functions of complex variables.
- Functions, Special.
- Computer science--Mathematics.
- Computer science.
- Number theory.
- Physical Description:
- 1 online resource.
- Contained In:
- Springer eBooks
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2017.
- System Details:
- text file PDF
- Summary:
- 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.
- Other Format:
- Printed edition:
- ISBN:
- 9783319512969
- Access Restriction:
- Restricted for use by site license.
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