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010   $a3-319-51296-X
024 7 $a10.1007/978-3-319-51296-9
035   $a(CKB)4340000000062305
035   $a(DE-He213)978-3-319-51296-9
035   $a(MiAaPQ)EBC6295540
035   $a(MiAaPQ)EBC5578832
035   $a(Au-PeEL)EBL5578832
035   $a(OCoLC)987489830
035   $a(PPN)201471108
035   $a(EXLCZ)994340000000062305
100   $a20170513d2017      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aSelberg Zeta Functions and Transfer Operators$b[electronic resource] $eAn Experimental Approach to Singular Perturbations /$fby Markus Szymon Fraczek
205   $a1st ed. 2017.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017.
215   $a1 online resource (XV, 354 p. 71 illus., 43 illus. in color.) 
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2139
311   $a3-319-51294-3 
330   $aThis book presents a method for evaluating Selberg zeta functions via transfer operators for the full modular group and its congruence subgroups with characters. Studying zeros of Selberg zeta functions for character deformations allows us to access the discrete spectra and resonances of hyperbolic Laplacians under both singular and non-singular perturbations. Areas in which the theory has not yet been sufficiently developed, such as the spectral theory of transfer operators or the singular perturbation theory of hyperbolic Laplacians, will profit from the numerical experiments discussed in this book. Detailed descriptions of numerical approaches to the spectra and eigenfunctions of transfer operators and to computations of Selberg zeta functions will be of value to researchers active in analysis, while those researchers focusing more on numerical aspects will benefit from discussions of the analytic theory, in particular those concerning the transfer operator method and the spectral theory of hyperbolic spaces.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v2139
606   $aNumber theory
606   $aComputer mathematics
606   $aApproximation theory
606   $aFunctions of complex variables
606   $aSpecial functions
606   $aDynamics
606   $aErgodic theory
606   $aNumber Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M25001
606   $aComputational Mathematics and Numerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M1400X
606   $aApproximations and Expansions$3https://scigraph.springernature.com/ontologies/product-market-codes/M12023
606   $aFunctions of a Complex Variable$3https://scigraph.springernature.com/ontologies/product-market-codes/M12074
606   $aSpecial Functions$3https://scigraph.springernature.com/ontologies/product-market-codes/M1221X
606   $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X
615  0$aNumber theory.
615  0$aComputer mathematics.
615  0$aApproximation theory.
615  0$aFunctions of complex variables.
615  0$aSpecial functions.
615  0$aDynamics.
615  0$aErgodic theory.
615 14$aNumber Theory.
615 24$aComputational Mathematics and Numerical Analysis.
615 24$aApproximations and Expansions.
615 24$aFunctions of a Complex Variable.
615 24$aSpecial Functions.
615 24$aDynamical Systems and Ergodic Theory.
676   $a515.56
700   $aFraczek$b Markus Szymon$4aut$4http://id.loc.gov/vocabulary/relators/aut$0742221
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a996466642003316
996   $aSelberg Zeta functions and transfer operators$91474428
997   $aUNISA