Holdings: Transfer operators in the context of orthogonal polynomials

Transfer operators in the context of orthogonal polynomials:

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Bibliographic Details
Main Author:	Straub, Sina F. (Author)
Format:	Thesis Book
Language:	English
Published:	2012
Subjects:	Orthogonale Polynome Transferoperator Hypergruppe Hochschulschrift
Online Access:	Volltext https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20120710-1098262-1-2 Inhaltsverzeichnis
Physical Description:	VI, 124 S.

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MARC


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adam_text	IMAGE 1 CONTENTS INTRODUCTION 1 1 ORTHOGONAL POLYNOMIALS AND HYPERGROUPS 7 1.1 ORTHOGONAL POLYNOMIALS 7 1.1.1 ORTHOGONAL POLYNOMIALS SEQUENCES 9 1.1.2 THE FUNDAMENTAL RECURRENCE FORMULA 15 1.1.3 ZEROS OF ORTHOGONAL POLYNOMIALS 21 1.1.4 GAUSS QUADRATURE 1 24 1.1.5 ITERATIVE PROPERTIES OF THE CHEBYSHEV POLYNOMIALS OF THE FIRST KIND . 26 1.2 HYPERGROUPS AND HOMOGENEOUS BANACH SPACES 29 1.2.1 DEFINITION AND BASIC PROPERTIES OF HYPERGROUPS 29 1.2.2 DISCRETE HYPERGROUPS 34 1.2.3 POLYNOMIAL HYPERGROUPS 40 1.2.4 HOMOGENEOUS BANACH SPACES 46 2 TRANSFER OPERATORS 4 9 2.1 TRANSFER OPERATORS AND SPECTRAL PROPERTIES 49 2.1.1 GEOMETRY OF EXPANDING AND MIXING DYNAMICAL SYSTEMS 49 2.1.2 MAXIMAL EIGENVALUES FOR RUELLE-PERRON-FROBENIUS OPERATORS 52 2.1.3 THE GIBBS PROPERTY 56 2.1.4 SPECTRA OF RUELLE-PERRON-PROBENIUS OPERATORS 65 2.2 HARMONIC ANALYSIS FOR THE TRANSFER OPERATOR ON M AND T 67 2.2.1 WAVELETS 67 2.2.2 THE TRIGONOMETRIC CASE 71 3 HARMONIC ANALYSIS FOR THE RUELLE OPERATOR ON HYPERGROUPS: THE POLYNOMIAL CASE 77 3.1 CHEBYSHEV POLYNOMIALS OF THE FIRST KIND: THE UNWEIGHTED RUELLE OPERATOR . 77 3.2 CHEBYSHEV POLYNOMIALS OF THE FIRST KIND: THE WEIGHTED RUELLE OPERATOR . . . 83 3.3 GENERALIZED CHEBYSHEV POLYNOMIALS: THE UNWEIGHTED RUELLE OPERATOR . . . 87 3.4 GENERALIZED CHEBYSHEV POLYNOMIALS: THE WEIGHTED RUELLE OPERATOR 90 3.5 QUADRATIC POLYNOMIALS: THE UNWEIGHTED RUELLE OPERATOR 92 3.6 QUADRATIC POLYNOMIALS: THE WEIGHTED RUELLE OPERATOR 99 3.7 CUBIC POLYNOMIALS: THE UNWEIGHTED RUELLE OPERATOR 102 4 THE TRANSFER OPERATOR ON PATH SPACE AND FUTURE WORK 113 4.1 THE TRANSFER OPERATOR ON PATH-SPACE 113 4.2 INVERSE BRANCHES OF CHEBYSHEV POLYNOMIALS OF THE FIRST KIND 115 4.3 DISCUSSION AND OUTLOOK 116 V HTTP://D-NB.INFO/1027083978 IMAGE 2 CONTENTS TABLE O F SYMBOLS AND ABBREVIATIONS
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spelling	Straub, Sina F. Verfasser (DE-588)1027083889 aut Transfer operators in the context of orthogonal polynomials Sina F. Straub 2012 VI, 124 S. txt rdacontent n rdamedia nc rdacarrier München, Techn. Univ., Diss., 2012 Orthogonale Polynome (DE-588)4172863-4 gnd rswk-swf Transferoperator (DE-588)4846596-3 gnd rswk-swf Hypergruppe (DE-588)4561851-3 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Transferoperator (DE-588)4846596-3 s Orthogonale Polynome (DE-588)4172863-4 s Hypergruppe (DE-588)4561851-3 s DE-604 Erscheint auch als Online-Ausgabe urn:nbn:de:bvb:91-diss-20120710-1098262-1-2 http://mediatum.ub.tum.de/node?id=1098262 Verlag kostenfrei Volltext https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20120710-1098262-1-2 Resolving-System DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025183705&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Straub, Sina F. Transfer operators in the context of orthogonal polynomials Orthogonale Polynome (DE-588)4172863-4 gnd Transferoperator (DE-588)4846596-3 gnd Hypergruppe (DE-588)4561851-3 gnd
subject_GND	(DE-588)4172863-4 (DE-588)4846596-3 (DE-588)4561851-3 (DE-588)4113937-9
title	Transfer operators in the context of orthogonal polynomials
title_auth	Transfer operators in the context of orthogonal polynomials
title_exact_search	Transfer operators in the context of orthogonal polynomials
title_full	Transfer operators in the context of orthogonal polynomials Sina F. Straub
title_fullStr	Transfer operators in the context of orthogonal polynomials Sina F. Straub
title_full_unstemmed	Transfer operators in the context of orthogonal polynomials Sina F. Straub
title_short	Transfer operators in the context of orthogonal polynomials
title_sort	transfer operators in the context of orthogonal polynomials
topic	Orthogonale Polynome (DE-588)4172863-4 gnd Transferoperator (DE-588)4846596-3 gnd Hypergruppe (DE-588)4561851-3 gnd
topic_facet	Orthogonale Polynome Transferoperator Hypergruppe Hochschulschrift
url	http://mediatum.ub.tum.de/node?id=1098262 https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20120710-1098262-1-2 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025183705&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT straubsinaf transferoperatorsinthecontextoforthogonalpolynomials

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