Difference spaces and invariant linear forms:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin u.a.
Springer
1994
|
| Series: | Lecture notes in mathematics
1586 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 186 S. |
| ISBN: | 3540583238 0387583238 |
Staff View
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| 100 | 1 | |a Nillsen, Rodney Victor |d 1945- |e Verfasser |0 (DE-588)114432473 |4 aut | |
| 245 | 1 | 0 | |a Difference spaces and invariant linear forms |c Rodney Nillsen |
| 264 | 1 | |a Berlin u.a. |b Springer |c 1994 | |
| 300 | |a XII, 186 S. | ||
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| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Lecture notes in mathematics |v 1586 | |
| 650 | 7 | |a Analise harmonica |2 larpcal | |
| 650 | 4 | |a Analyse harmonique | |
| 650 | 4 | |a Fourier, Transformations de | |
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| 650 | 7 | |a Harmonische analyse |2 gtt | |
| 650 | 4 | |a Intégrales singulières | |
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| 650 | 4 | |a Fourier transformations | |
| 650 | 4 | |a Harmonic analysis | |
| 650 | 4 | |a Singular integrals | |
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Record in the Search Index
| _version_ | 1805082779639087104 |
|---|---|
| adam_text |
CONTENTS
INTRODUCTION
1. Difference spaces 1
2. Differentiation, differences and the behaviour of the Fourier
transform near the origin 2
3. Multiplication spaces 4
4. Arrangement of the work 4
5. Notation and conventions 5
6. Notes 7
CHAPTER I. GENERAL AND PREPARATORY RESULTS
1. Introduction: further aspects of the multiplication spaces
and difference spaces 9
2. The spaces of abstract distributions 10
3. Characterization of the multiplication and difference spaces 12
4. Multiplication sets and difference sets 20
5. Difference spaces and invariant linear forms 24
6. Measures with prescribed Fourier transform 35
7. Notes 42
CHAPTER n. MULTIPLICATION AND DIFFERENCE SPACES ON R"
1. Introduction : the growth function and its significance 44
2. The finite integral theorem 45
3. The characterization of multiplication sets 50
4. The Fourier transform interpretation: the characterization
of difference sets 67
5. Some particular spaces, interpolation and applications to
invariant linear forms 77
6. Sharpness aspects of the characterizations of the difference
and multiplication spaces 86
7. Spaces of negative index and dual spaces 98
8. Difference spaces, centroids and moments 102
9. Connections with wavelets 110
10. Notes 114
XII
CHAPTER m. APPLICATIONS TO DIFFERENTIAL AND
SINGULAR INTEGRAL OPERATORS
1. Introduction : operators and difference spaces 118
2. Sobolev type spaces and multiplier operators 119
3. Applications to differential operators 125
4. Applications to singular integral operators 137
5. Notes 150
CHAPTER IV. RESULTS FOR V SPACES ON GENERAL GROUPS
1. Introduction: the averaging method of Woodward 152
2. Difference spaces and invariant linear forms for LX(G) 153
3. Difference spaces and invariant linear forms for Lr(G), 1 p oo 162
4. Notes 173
BIBLIOGRAPHY 175
INDEX OF AUTHORS 178
INDEX OF SUBJECTS 179
INDEX OF SYMBOLS 182 |
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| indexdate | 2024-07-20T07:38:05Z |
| institution | BVB |
| isbn | 3540583238 0387583238 |
| language | English |
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| physical | XII, 186 S. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Springer |
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| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Nillsen, Rodney Victor 1945- Verfasser (DE-588)114432473 aut Difference spaces and invariant linear forms Rodney Nillsen Berlin u.a. Springer 1994 XII, 186 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1586 Analise harmonica larpcal Analyse harmonique Fourier, Transformations de Fourier-transformatie gtt Harmonische analyse gtt Intégrales singulières Singuliere integralen gtt Fourier transformations Harmonic analysis Singular integrals Linearform (DE-588)4167739-0 gnd rswk-swf Harmonische Analyse (DE-588)4023453-8 gnd rswk-swf Harmonische Analyse (DE-588)4023453-8 s DE-604 Linearform (DE-588)4167739-0 s Lecture notes in mathematics 1586 (DE-604)BV000676446 1586 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006541293&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Nillsen, Rodney Victor 1945- Difference spaces and invariant linear forms Lecture notes in mathematics Analise harmonica larpcal Analyse harmonique Fourier, Transformations de Fourier-transformatie gtt Harmonische analyse gtt Intégrales singulières Singuliere integralen gtt Fourier transformations Harmonic analysis Singular integrals Linearform (DE-588)4167739-0 gnd Harmonische Analyse (DE-588)4023453-8 gnd |
| subject_GND | (DE-588)4167739-0 (DE-588)4023453-8 |
| title | Difference spaces and invariant linear forms |
| title_auth | Difference spaces and invariant linear forms |
| title_exact_search | Difference spaces and invariant linear forms |
| title_full | Difference spaces and invariant linear forms Rodney Nillsen |
| title_fullStr | Difference spaces and invariant linear forms Rodney Nillsen |
| title_full_unstemmed | Difference spaces and invariant linear forms Rodney Nillsen |
| title_short | Difference spaces and invariant linear forms |
| title_sort | difference spaces and invariant linear forms |
| topic | Analise harmonica larpcal Analyse harmonique Fourier, Transformations de Fourier-transformatie gtt Harmonische analyse gtt Intégrales singulières Singuliere integralen gtt Fourier transformations Harmonic analysis Singular integrals Linearform (DE-588)4167739-0 gnd Harmonische Analyse (DE-588)4023453-8 gnd |
| topic_facet | Analise harmonica Analyse harmonique Fourier, Transformations de Fourier-transformatie Harmonische analyse Intégrales singulières Singuliere integralen Fourier transformations Harmonic analysis Singular integrals Linearform Harmonische Analyse |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006541293&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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