Markus Szymon Fraczek's Selberg Zeta Functions and Transfer Operators: An PDF

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By Markus Szymon Fraczek

This booklet provides a mode for comparing Selberg zeta capabilities through move operators for the whole modular workforce 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 less than either singular and non-singular perturbations. parts within which the idea has no longer but been sufficiently built, corresponding to the spectral thought of move operators or the singular perturbation conception of hyperbolic Laplacians, will make the most of 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 should be of price to researchers energetic in research, whereas these researchers focusing extra on numerical elements will take advantage of discussions of the analytic concept, specifically these in regards to the move operator procedure and the spectral conception of hyperbolic spaces.

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Markus Szymon Fraczek's Selberg Zeta Functions and Transfer Operators: An PDF

This ebook offers a mode for comparing Selberg zeta services through move operators for the entire modular team and its congruence subgroups with characters. learning zeros of Selberg zeta capabilities for personality deformations permits us to entry the discrete spectra and resonances of hyperbolic Laplacians less than either singular and non-singular perturbations.

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Selberg Zeta Functions and Transfer Operators: An Experimental Approach to Singular Perturbations (Lecture Notes in Mathematics) by Markus Szymon Fraczek


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