By Markus Szymon Fraczek
ISBN-10: 3319512943
ISBN-13: 9783319512945
This publication offers a style for comparing Selberg zeta capabilities through move operators for the total modular crew and its congruence subgroups with characters. learning zeros of Selberg zeta features for personality deformations permits us to entry the discrete spectra and resonances of hyperbolic Laplacians below either singular and non-singular perturbations. parts during which the idea has now not but been sufficiently built, corresponding to the spectral conception of move operators or the singular perturbation thought of hyperbolic Laplacians, will benefit from the numerical experiments mentioned during this publication. precise descriptions of numerical techniques to the spectra and eigenfunctions of move operators and to computations of Selberg zeta services may be of worth to researchers lively in research, whereas these researchers focusing extra on numerical facets will reap the benefits of discussions of the analytic concept, specifically these in regards to the move operator approach and the spectral idea of hyperbolic spaces.
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Selberg Zeta Functions and Transfer Operators: An Experimental Approach to Singular Perturbations (Lecture Notes in Mathematics) by Markus Szymon Fraczek
by Charles
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