Abstract band method via factorization, positive and band extensions of multivariable almost periodic matrix functions, and spectral estimation:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Providence, RI
American Mathematical Society
2002
|
| Schriftenreihe: | Memoirs of the American Mathematical Society
762 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009892090&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | "Volume 160, number 762 (fourth of 5 numbers)." |
| Umfang: | VIII, 71 S. |
| ISBN: | 0821829963 |
Internformat
MARC
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| 245 | 1 | 0 | |a Abstract band method via factorization, positive and band extensions of multivariable almost periodic matrix functions, and spectral estimation |c Leiba Rodman ; Ilya M. Spitkovsky ; Hugo J. Woerdeman |
| 264 | 1 | |a Providence, RI |b American Mathematical Society |c 2002 | |
| 300 | |a VIII, 71 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society |v 762 | |
| 500 | |a "Volume 160, number 762 (fourth of 5 numbers)." | ||
| 650 | 7 | |a Operatortheorie |2 gtt | |
| 650 | 4 | |a Factorization (Mathematics) | |
| 650 | 4 | |a Lifting theory | |
| 650 | 4 | |a Toeplitz operators | |
| 650 | 0 | 7 | |a Liften |g Mathematik |0 (DE-588)4167655-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Toeplitz-Operator |0 (DE-588)4191521-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Faktorisierung |0 (DE-588)4128927-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Liften |g Mathematik |0 (DE-588)4167655-5 |D s |
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| 700 | 1 | |a Spitkovskij, Il'ja M. |d 1953- |e Sonstige |0 (DE-588)12322747X |4 oth | |
| 700 | 1 | |a Woerdeman, Hugo J. |d 1962- |e Sonstige |0 (DE-588)172455979 |4 oth | |
| 830 | 0 | |a Memoirs of the American Mathematical Society |v 762 |w (DE-604)BV008000141 |9 762 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009892090&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-009892090 | |
Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102 MAT 001z 2001 B 990-762 |
|---|---|
| DE-BY-TUM_katkey | 1351204 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040020132612 |
| _version_ | 1821932474598424576 |
| adam_text | Contents
Chapter 1. Introduction 1
1.1. Abstract Band Method 1
1.2. Factorization 3
1.3. Conventions and Notation 4
Chapter 2. Abstract Band Method: New Variations 5
2.1. Nonsymmetric Band Method 6
2.2. Shiftable Band Structure 9
2.3. Stability of Band Extensions 15
2.4. Band Extensions: The Symmetric Case 18
2.5. Positive Band Extensions: Existence 22
2.6. Description of Positive Extensions 28
Chapter 3. Toeplitz and Wiener Algebras of Operator Matrices 31
3.1. Band Extensions for Wiener Class of Operator Valued Functions on
the Unit Circle 31
3.2. Positive Extensions for Wiener Class of Doubly Infinite Operator
Matrices 35
3.3. Application to Cyclostationary Processes 41
Chapter 4. Positive Extensions in Wiener Classes of Almost Periodic Matrix
Functions 43
4.1. Almost Periodic Functions and Statement of the Problem 43
4.2. Preliminaries on Almost Periodic Functions and Toeplitz Operators 46
4.3. Toeplitz Operators Associated with Band 49
4.4. Positive Extension Problem: Main Results 52
4.5. Point Excluding Variations 56
4.6. Stability of Band Extensions 57
4.7. Positive Measure Extension Problem 58
4.8. Application to Spectral Estimation for ARMA Processes 62
Chapter 5. Appendix 65
5.1. Bochner Phillips Theorem 65
5.2. Abstract Factorization 65
5.3. Krein s Theorem on Extension of Positive Functionate 66
5.4. Invertibility in Banach Algebras 66
Bibliography 67
Index 71
vii
|
| any_adam_object | 1 |
| author | Rodman, Leiba 1949-2015 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis 510 - Mathematics |
| dewey-raw | 515/.724 510 |
| dewey-search | 515/.724 510 |
| dewey-sort | 3515 3724 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV014547953 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T11:04:49Z |
| institution | BVB |
| isbn | 0821829963 |
| language | English |
| lccn | 2002074588 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009892090 |
| oclc_num | 50072607 |
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| owner_facet | DE-355 DE-BY-UBR DE-739 DE-91G DE-BY-TUM DE-29T DE-83 DE-188 |
| physical | VIII, 71 S. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spellingShingle | Rodman, Leiba 1949-2015 Abstract band method via factorization, positive and band extensions of multivariable almost periodic matrix functions, and spectral estimation Memoirs of the American Mathematical Society Operatortheorie gtt Factorization (Mathematics) Lifting theory Toeplitz operators Liften Mathematik (DE-588)4167655-5 gnd Toeplitz-Operator (DE-588)4191521-5 gnd Faktorisierung (DE-588)4128927-4 gnd |
| subject_GND | (DE-588)4167655-5 (DE-588)4191521-5 (DE-588)4128927-4 |
| title | Abstract band method via factorization, positive and band extensions of multivariable almost periodic matrix functions, and spectral estimation |
| title_auth | Abstract band method via factorization, positive and band extensions of multivariable almost periodic matrix functions, and spectral estimation |
| title_exact_search | Abstract band method via factorization, positive and band extensions of multivariable almost periodic matrix functions, and spectral estimation |
| title_full | Abstract band method via factorization, positive and band extensions of multivariable almost periodic matrix functions, and spectral estimation Leiba Rodman ; Ilya M. Spitkovsky ; Hugo J. Woerdeman |
| title_fullStr | Abstract band method via factorization, positive and band extensions of multivariable almost periodic matrix functions, and spectral estimation Leiba Rodman ; Ilya M. Spitkovsky ; Hugo J. Woerdeman |
| title_full_unstemmed | Abstract band method via factorization, positive and band extensions of multivariable almost periodic matrix functions, and spectral estimation Leiba Rodman ; Ilya M. Spitkovsky ; Hugo J. Woerdeman |
| title_short | Abstract band method via factorization, positive and band extensions of multivariable almost periodic matrix functions, and spectral estimation |
| title_sort | abstract band method via factorization positive and band extensions of multivariable almost periodic matrix functions and spectral estimation |
| topic | Operatortheorie gtt Factorization (Mathematics) Lifting theory Toeplitz operators Liften Mathematik (DE-588)4167655-5 gnd Toeplitz-Operator (DE-588)4191521-5 gnd Faktorisierung (DE-588)4128927-4 gnd |
| topic_facet | Operatortheorie Factorization (Mathematics) Lifting theory Toeplitz operators Liften Mathematik Toeplitz-Operator Faktorisierung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009892090&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT rodmanleiba abstractbandmethodviafactorizationpositiveandbandextensionsofmultivariablealmostperiodicmatrixfunctionsandspectralestimation AT spitkovskijiljam abstractbandmethodviafactorizationpositiveandbandextensionsofmultivariablealmostperiodicmatrixfunctionsandspectralestimation AT woerdemanhugoj abstractbandmethodviafactorizationpositiveandbandextensionsofmultivariablealmostperiodicmatrixfunctionsandspectralestimation |
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Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 001z 2001 B 990-762 Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |