An axiomatic approach to function spaces, spectral synthesis, and Luzin approximation:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Mathematical Society
2007
|
| Series: | Memoirs of the American Mathematical Society
882 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | "Volume 188, number 882 (third of 4 numbers)." |
| Physical Description: | VI, 97 S. |
| ISBN: | 9780821839836 |
Staff View
MARC
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| 245 | 1 | 0 | |a An axiomatic approach to function spaces, spectral synthesis, and Luzin approximation |c Lars Inge Hedberg ; Yuri Netrusov |
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Record in the Search Index
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| adam_text | Contents
Introduction. Notation 1
Chapter 1. A Class of Function Spaces 5
1.1. Definitions and Basic Properties 5
1.2. Some Lemmas 16
1.3. Proof of Theorem 1.1.14 24
1.4. Some Lemmas on Orthogonalization 29
1.5. Proof of Theorem 1.1.15 33
1.6. Homogeneous Spaces 37
1.7. Proof of Theorem 1.6.12 43
1.8. Proof of Theorem 1.6.11 44
Chapter 2. Differentiability and Spectral Synthesis 47
2.1. Capacities and Differentials 47
2.2. Spectral Synthesis 52
2.3. Spectral Synthesis in Spaces of Distributions 57
2.4. Invariant Subspaces and a Theorem of Whitney 64
Chapter 3. Luzin Type Theorems 67
3.1. Luzin Approximation of Functions 67
3.2. Luzin Approximation of Distributions 77
Appendix. Whitney s Approximation Theorem in LP(RN), p 0 87
Bibliography 95
|
| adam_txt |
Contents
Introduction. Notation 1
Chapter 1. A Class of Function Spaces 5
1.1. Definitions and Basic Properties 5
1.2. Some Lemmas 16
1.3. Proof of Theorem 1.1.14 24
1.4. Some Lemmas on Orthogonalization 29
1.5. Proof of Theorem 1.1.15 33
1.6. Homogeneous Spaces 37
1.7. Proof of Theorem 1.6.12 43
1.8. Proof of Theorem 1.6.11 44
Chapter 2. Differentiability and Spectral Synthesis 47
2.1. Capacities and Differentials 47
2.2. Spectral Synthesis 52
2.3. Spectral Synthesis in Spaces of Distributions 57
2.4. Invariant Subspaces and a Theorem of Whitney 64
Chapter 3. Luzin Type Theorems 67
3.1. Luzin Approximation of Functions 67
3.2. Luzin Approximation of Distributions 77
Appendix. Whitney's Approximation Theorem in LP(RN), p 0 87
Bibliography 95 |
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| author | Hedberg, Lars Inge 1935-2005 Netrusov, Yuri |
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| dewey-full | 515/.73 |
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| dewey-ones | 515 - Analysis |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
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| illustrated | Not Illustrated |
| index_date | 2024-07-02T17:57:05Z |
| indexdate | 2024-07-09T20:59:03Z |
| institution | BVB |
| isbn | 9780821839836 |
| language | English |
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| publishDate | 2007 |
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| publisher | American Mathematical Society |
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| spelling | Hedberg, Lars Inge 1935-2005 Verfasser (DE-588)115051066 aut An axiomatic approach to function spaces, spectral synthesis, and Luzin approximation Lars Inge Hedberg ; Yuri Netrusov Providence, RI American Mathematical Society 2007 VI, 97 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 882 "Volume 188, number 882 (third of 4 numbers)." Benaderingen (wiskunde) gtt Functieruimten gtt Function spaces Spectral synthesis (Mathematics) Approximation theory Approximationstheorie (DE-588)4120913-8 gnd rswk-swf Spektralsynthese (DE-588)4182173-7 gnd rswk-swf Funktionenraum (DE-588)4134834-5 gnd rswk-swf Funktionenraum (DE-588)4134834-5 s Spektralsynthese (DE-588)4182173-7 s Approximationstheorie (DE-588)4120913-8 s DE-604 Netrusov, Yuri Verfasser aut Memoirs of the American Mathematical Society 882 (DE-604)BV008000141 882 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015711910&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hedberg, Lars Inge 1935-2005 Netrusov, Yuri An axiomatic approach to function spaces, spectral synthesis, and Luzin approximation Memoirs of the American Mathematical Society Benaderingen (wiskunde) gtt Functieruimten gtt Function spaces Spectral synthesis (Mathematics) Approximation theory Approximationstheorie (DE-588)4120913-8 gnd Spektralsynthese (DE-588)4182173-7 gnd Funktionenraum (DE-588)4134834-5 gnd |
| subject_GND | (DE-588)4120913-8 (DE-588)4182173-7 (DE-588)4134834-5 |
| title | An axiomatic approach to function spaces, spectral synthesis, and Luzin approximation |
| title_auth | An axiomatic approach to function spaces, spectral synthesis, and Luzin approximation |
| title_exact_search | An axiomatic approach to function spaces, spectral synthesis, and Luzin approximation |
| title_exact_search_txtP | An axiomatic approach to function spaces, spectral synthesis, and Luzin approximation |
| title_full | An axiomatic approach to function spaces, spectral synthesis, and Luzin approximation Lars Inge Hedberg ; Yuri Netrusov |
| title_fullStr | An axiomatic approach to function spaces, spectral synthesis, and Luzin approximation Lars Inge Hedberg ; Yuri Netrusov |
| title_full_unstemmed | An axiomatic approach to function spaces, spectral synthesis, and Luzin approximation Lars Inge Hedberg ; Yuri Netrusov |
| title_short | An axiomatic approach to function spaces, spectral synthesis, and Luzin approximation |
| title_sort | an axiomatic approach to function spaces spectral synthesis and luzin approximation |
| topic | Benaderingen (wiskunde) gtt Functieruimten gtt Function spaces Spectral synthesis (Mathematics) Approximation theory Approximationstheorie (DE-588)4120913-8 gnd Spektralsynthese (DE-588)4182173-7 gnd Funktionenraum (DE-588)4134834-5 gnd |
| topic_facet | Benaderingen (wiskunde) Functieruimten Function spaces Spectral synthesis (Mathematics) Approximation theory Approximationstheorie Spektralsynthese Funktionenraum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015711910&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
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