Transfer operators in the context of orthogonal polynomials:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
2012
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| Schlagworte: | |
| Online-Zugang: | Volltext https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20120710-1098262-1-2 Inhaltsverzeichnis |
| Beschreibung: | VI, 124 S. |
Internformat
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| 245 | 1 | 0 | |a Transfer operators in the context of orthogonal polynomials |c Sina F. Straub |
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| 336 | |b txt |2 rdacontent | ||
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| 502 | |a München, Techn. Univ., Diss., 2012 | ||
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| 650 | 0 | 7 | |a Hypergruppe |0 (DE-588)4561851-3 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1804149360354656256 |
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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
|
| any_adam_object | 1 |
| author | Straub, Sina F. |
| author_GND | (DE-588)1027083889 |
| author_facet | Straub, Sina F. |
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| author_variant | s f s sf sfs |
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| bvnumber | BV040329251 |
| classification_tum | MAT 430d MAT 428d MAT 344d |
| collection | ebook |
| ctrlnum | (OCoLC)802739764 (DE-599)BVBBV040329251 |
| discipline | Mathematik |
| format | Thesis Book |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:21:47Z |
| institution | BVB |
| language | English |
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| physical | VI, 124 S. |
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| publishDate | 2012 |
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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 |