Multipliers for hypergroups: concrete examples, application to time series
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-20121019-1108067-0-8 Inhaltsverzeichnis |
| Beschreibung: | V, 113 S. |
Internformat
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| 245 | 1 | 0 | |a Multipliers for hypergroups |b concrete examples, application to time series |c Sina Andrea Degenfeld-Schonburg |
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| 912 | |a ebook | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-025748939 | ||
Datensatz im Suchindex
| _version_ | 1804150101045673984 |
|---|---|
| adam_text | IMAGE 1
CONTENTS
1 COMMUTATIVE HYPERGROUPS 1
1.1 DEFINITION OF A HYPERGROUP AND BASIC PROPERTIES 1
1.2 HARMONIC ANALYSIS ON HYPERGROUPS 3
1.2.1 AN EXAMPLE FOR A HYPERGROUP DERIVED FROM A GROUP 7
1.3 POLYNOMIAL HYPERGROUPS 8
1.3.1 THE CONTINUITY PROPERTY (P) 9
1.4 THE JACOBI HYPERGROUP 11
2 THE HAUSDORFF-YOUNG THEOREM 13
2.1 MAIN RESULTS 13
2.2 FURTHER CONVOLUTION RESULTS 17
2.3 FURTHER CONSEQUENCES OF THE MAIN THEOREM 18
3 MULTIPLIERS FOR LP{K,M) 21
3.1 INTRODUCTION AND MULTIPLIERS FOR L 1 (K, M) 21
3.2 MULTIPLIERS FOR L 2 (K,M) 26
3.3 MULTIPLIERS FOR L?(K, M ) , P ^ L , P ^ 2 30
3.4 EXAMPLES 34
3.5 ON THE SPECTRUM OF A MULTIPLIER 35
4 MULTIPLIERS FOR L P (S, N) 37
4.1 MULTIPLIERS FOR L 1 (S, N) 37
4.1.1 AN INVESTIGATION ON POLYNOMIAL HYPERGROUPS 41
4.2 MULTIPLIERS FOR L 2 (S,7R) 42
4.3 MULTIPLIERS FOR IP{S, I T ) , P 1, P ^ 2 45
5 THE FIGA-TALAMANCA HERZ ALGEBRAS 49
5.1 THE FIGA-TALAMANCA HERZ ALGEBRAS 49
5.1.1 DEFINITION 49
5.1.2 A 2 (K) AND THE FOURIER SPACE OF K 50
5.2 THE ROLE OF A P (K) IN THE THEORY OF MULTIPLIERS 51
5.2.1 P-PSEUDOMEASURES 51
5.2.2 THE DUAL OF A P (K) 52
5.2.3 AN APPLICATION 55
5.3 INCLUSION RESULTS 56
5.3.1 INCLUSION RESULTS FOR COMPACT HYPERGROUPS 57
5.3.2 INCLUSION RESULTS FOR NON-COMPACT HYPERGROUP 59
HTTP://D-NB.INFO/1032929731
IMAGE 2
6 DERIVED SPACES 63
6.1 THE DERIVED SPACE FOR IP(K,M) 63
6.2 THE DERIVED SPACES FOR COMPACT HYPERGROUPS 67
6.3 THE DERIVED SPACES FOR NON-COMPACT HYPERGROUPS 69
6.4 APPLICATIONS TO INCLUSION RESULTS 71
7 MULTIPLIERS FOR HOMOGENEOUS BANACH SPACES 73
7.1 HOMOGENEOUS BANACH SPACES DETERMINED BY THE JACOBI TRANSLATION
OPERATOR . . . 73 7.2 MULTIPLIERS FOR HOMOGENEOUS BANACH SPACES 74
7.2.1 MULTIPLIERS FOR THE WIENER ALGEBRA W ( S ) 76
7.2.2 MULTIPLIERS FOR .A P (S,7R) 78
7.2.3 MULTIPLIERS FOR THE BEURLING SPACE W * ( S ) 80
7.2.4 MULTIPLIERS FOR THE SOBOLEV SPACE H ^ I S ) 82
8 MULTIPLIERS FOR P- FOURIER SPACES 85
8.1 THE BANACH ALGEBRA A P (K,M) 85
8.2 MULTIPLIERS FOR A P (K, M) 88
8.2.1 THE MULTIPLIERS FOR A P (K,M) FOR A COMPACT HYPERGROUP K 90
8.3 MULTIPLIERS FOR A P ( S , - K ) 94
9 MULTIPLIERS FOR ALMOST-CONVERGENT SEQUENCES 97
9.1 ALMOST-CONVERGENT SEQUENCES 97
9.2 MULTIPLIERS FOR ALMOST-CONVERGENT SEQUENCES 98
10 MULTIPLIERS AND INVARIANT LINEAR SYSTEMS IN TIME SERIES ANALYSIS 101
10.1 GENERAL THEORY 101
10.2 EXAMPLES OF MULTIPLIERS FOR R N - STATIONARY SEQUENCES 103
BIBLIOGRAPHY 105
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| any_adam_object | 1 |
| author | Degenfeld-Schonburg, Sina Andrea |
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| author_facet | Degenfeld-Schonburg, Sina Andrea |
| author_role | aut |
| author_sort | Degenfeld-Schonburg, Sina Andrea |
| author_variant | s a d s sad sads |
| building | Verbundindex |
| bvnumber | BV040770564 |
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| dewey-full | 519.55 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.55 |
| dewey-search | 519.55 |
| dewey-sort | 3519.55 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Thesis Book |
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| spelling | Degenfeld-Schonburg, Sina Andrea Verfasser (DE-588)1032929561 aut Multipliers for hypergroups concrete examples, application to time series Sina Andrea Degenfeld-Schonburg 2012 V, 113 S. txt rdacontent n rdamedia nc rdacarrier München, Techn. Univ., Diss., 2012 Hypergruppe (DE-588)4561851-3 gnd rswk-swf Zeitreihenanalyse (DE-588)4067486-1 gnd rswk-swf Multiplikator (DE-588)4040703-2 gnd rswk-swf Banach-Raum (DE-588)4004402-6 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Hypergruppe (DE-588)4561851-3 s Multiplikator (DE-588)4040703-2 s Banach-Raum (DE-588)4004402-6 s Zeitreihenanalyse (DE-588)4067486-1 s DE-604 Erscheint auch als Online-Ausgabe urn:nbn:de:bvb:91-diss-20121019-1108067-0-8 http://mediatum.ub.tum.de/node?id=1108067 Verlag kostenfrei Volltext https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20121019-1108067-0-8 Resolving-System DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025748939&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Degenfeld-Schonburg, Sina Andrea Multipliers for hypergroups concrete examples, application to time series Hypergruppe (DE-588)4561851-3 gnd Zeitreihenanalyse (DE-588)4067486-1 gnd Multiplikator (DE-588)4040703-2 gnd Banach-Raum (DE-588)4004402-6 gnd |
| subject_GND | (DE-588)4561851-3 (DE-588)4067486-1 (DE-588)4040703-2 (DE-588)4004402-6 (DE-588)4113937-9 |
| title | Multipliers for hypergroups concrete examples, application to time series |
| title_auth | Multipliers for hypergroups concrete examples, application to time series |
| title_exact_search | Multipliers for hypergroups concrete examples, application to time series |
| title_full | Multipliers for hypergroups concrete examples, application to time series Sina Andrea Degenfeld-Schonburg |
| title_fullStr | Multipliers for hypergroups concrete examples, application to time series Sina Andrea Degenfeld-Schonburg |
| title_full_unstemmed | Multipliers for hypergroups concrete examples, application to time series Sina Andrea Degenfeld-Schonburg |
| title_short | Multipliers for hypergroups |
| title_sort | multipliers for hypergroups concrete examples application to time series |
| title_sub | concrete examples, application to time series |
| topic | Hypergruppe (DE-588)4561851-3 gnd Zeitreihenanalyse (DE-588)4067486-1 gnd Multiplikator (DE-588)4040703-2 gnd Banach-Raum (DE-588)4004402-6 gnd |
| topic_facet | Hypergruppe Zeitreihenanalyse Multiplikator Banach-Raum Hochschulschrift |
| url | http://mediatum.ub.tum.de/node?id=1108067 https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20121019-1108067-0-8 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025748939&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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