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Selberg Zeta Functions and Transfer Operators: An Experimental Approach to Singular Perturbations: 2139 (Lecture Notes in Mathematics, 2139) - Softcover
Synopsis
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.
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From the Back Cover
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.
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Selberg Zeta Functions and Transfer Operators. An Experimental Approach to Singular Perturbations.
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Selberg Zeta Functions and Transfer Operators: An Experimental Approach to Singular Perturbations (Lecture Notes in Mathematics)
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Selberg Zeta Functions and Transfer Operators: An Experimental Approach to Singular Perturbations (Lecture Notes in Mathematics, 2139)
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Selberg Zeta Functions and Transfer Operators
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Springer International Publishing Mai 2017, 2017
ISBN 10: 3319512943
ISBN 13: 9783319512945
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 372 pp. Englisch. Seller Inventory # 9783319512945
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Selberg Zeta Functions and Transfer Operators : An Experimental Approach to Singular Perturbations
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Selberg Zeta Functions and Transfer Operators : An Experimental Approach to Singular Perturbations
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ISBN 10: 3319512943
ISBN 13: 9783319512945
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9783319512945
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Selberg Zeta Functions and Transfer Operators
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ISBN 10: 3319512943
ISBN 13: 9783319512945
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The only book on the market which describes the evaluation of Selberg zeta functions for character deformations via the transfer operator methodGives a detailed description of numerical methods and analytic theories in one bookProvides animations. Seller Inventory # 133628375
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Selberg Zeta Functions and Transfer Operators : An Experimental Approach to Singular Perturbations
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