Multipliers for hypergroups: concrete examples, application to time series
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
2012
|
| Subjects: | |
| Online Access: | Volltext https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20121019-1108067-0-8 Inhaltsverzeichnis |
| Physical Description: | V, 113 S. |
Staff View
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV040770564 | ||
| 003 | DE-604 | ||
| 005 | 20140722 | ||
| 007 | t | ||
| 008 | 130222s2012 m||| 00||| eng d | ||
| 035 | |a (OCoLC)828810585 | ||
| 035 | |a (DE-599)BVBBV040770564 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-473 |a DE-703 |a DE-1051 |a DE-824 |a DE-29 |a DE-12 |a DE-91 |a DE-19 |a DE-1049 |a DE-92 |a DE-739 |a DE-898 |a DE-355 |a DE-706 |a DE-20 |a DE-1102 |a DE-91G | ||
| 082 | 0 | |a 519.55 |2 22//ger | |
| 084 | |a MAT 430d |2 stub | ||
| 084 | |a MAT 472d |2 stub | ||
| 084 | |a MAT 462d |2 stub | ||
| 100 | 1 | |a Degenfeld-Schonburg, Sina Andrea |e Verfasser |0 (DE-588)1032929561 |4 aut | |
| 245 | 1 | 0 | |a Multipliers for hypergroups |b concrete examples, application to time series |c Sina Andrea Degenfeld-Schonburg |
| 264 | 1 | |c 2012 | |
| 300 | |a V, 113 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 502 | |a München, Techn. Univ., Diss., 2012 | ||
| 650 | 0 | 7 | |a Hypergruppe |0 (DE-588)4561851-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Zeitreihenanalyse |0 (DE-588)4067486-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Multiplikator |0 (DE-588)4040703-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Banach-Raum |0 (DE-588)4004402-6 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 689 | 0 | 0 | |a Hypergruppe |0 (DE-588)4561851-3 |D s |
| 689 | 0 | 1 | |a Multiplikator |0 (DE-588)4040703-2 |D s |
| 689 | 0 | 2 | |a Banach-Raum |0 (DE-588)4004402-6 |D s |
| 689 | 0 | 3 | |a Zeitreihenanalyse |0 (DE-588)4067486-1 |D s |
| 689 | 0 | |5 DE-604 | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |o urn:nbn:de:bvb:91-diss-20121019-1108067-0-8 |
| 856 | 4 | 1 | |u http://mediatum.ub.tum.de/node?id=1108067 |x Verlag |z kostenfrei |3 Volltext |
| 856 | 4 | |u https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20121019-1108067-0-8 |x Resolving-System | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u 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 |3 Inhaltsverzeichnis |
| 912 | |a ebook | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-025748939 | ||
Record in the Search Index
| _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
|
| any_adam_object | 1 |
| author | Degenfeld-Schonburg, Sina Andrea |
| author_GND | (DE-588)1032929561 |
| 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 |
| classification_tum | MAT 430d MAT 472d MAT 462d |
| collection | ebook |
| ctrlnum | (OCoLC)828810585 (DE-599)BVBBV040770564 |
| 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 |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02132nam a2200481 c 4500</leader><controlfield tag="001">BV040770564</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20140722 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">130222s2012 m||| 00||| eng d</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)828810585</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV040770564</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-473</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-1051</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-29</subfield><subfield code="a">DE-12</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-1049</subfield><subfield code="a">DE-92</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-898</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-1102</subfield><subfield code="a">DE-91G</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">519.55</subfield><subfield code="2">22//ger</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 430d</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 472d</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 462d</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Degenfeld-Schonburg, Sina Andrea</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1032929561</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Multipliers for hypergroups</subfield><subfield code="b">concrete examples, application to time series</subfield><subfield code="c">Sina Andrea Degenfeld-Schonburg</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2012</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">V, 113 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="502" ind1=" " ind2=" "><subfield code="a">München, Techn. Univ., Diss., 2012</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Hypergruppe</subfield><subfield code="0">(DE-588)4561851-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Zeitreihenanalyse</subfield><subfield code="0">(DE-588)4067486-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Multiplikator</subfield><subfield code="0">(DE-588)4040703-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Banach-Raum</subfield><subfield code="0">(DE-588)4004402-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4113937-9</subfield><subfield code="a">Hochschulschrift</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Hypergruppe</subfield><subfield code="0">(DE-588)4561851-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Multiplikator</subfield><subfield code="0">(DE-588)4040703-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Banach-Raum</subfield><subfield code="0">(DE-588)4004402-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="3"><subfield code="a">Zeitreihenanalyse</subfield><subfield code="0">(DE-588)4067486-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="o">urn:nbn:de:bvb:91-diss-20121019-1108067-0-8</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">http://mediatum.ub.tum.de/node?id=1108067</subfield><subfield code="x">Verlag</subfield><subfield code="z">kostenfrei</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="856" ind1="4" ind2=" "><subfield code="u">https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20121019-1108067-0-8</subfield><subfield code="x">Resolving-System</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ebook</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-025748939</subfield></datafield></record></collection> |
| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV040770564 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:33:34Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025748939 |
| oclc_num | 828810585 |
| open_access_boolean | 1 |
| owner | DE-384 DE-473 DE-BY-UBG DE-703 DE-1051 DE-824 DE-29 DE-12 DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-1049 DE-92 DE-739 DE-898 DE-BY-UBR DE-355 DE-BY-UBR DE-706 DE-20 DE-1102 DE-91G DE-BY-TUM |
| owner_facet | DE-384 DE-473 DE-BY-UBG DE-703 DE-1051 DE-824 DE-29 DE-12 DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-1049 DE-92 DE-739 DE-898 DE-BY-UBR DE-355 DE-BY-UBR DE-706 DE-20 DE-1102 DE-91G DE-BY-TUM |
| physical | V, 113 S. |
| psigel | ebook |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| record_format | marc |
| 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 |
| work_keys_str_mv | AT degenfeldschonburgsinaandrea multipliersforhypergroupsconcreteexamplesapplicationtotimeseries |