Clifford wavelets, singular integrals, and Hardy spaces:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin u.a.
Springer
1994
|
| Schriftenreihe: | Lecture notes in mathematics
1575 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 116 S. |
| ISBN: | 3540578846 0387578846 |
Internformat
MARC
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| 100 | 1 | |a Mitrea, Marius |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Clifford wavelets, singular integrals, and Hardy spaces |c Marius Mitrea |
| 264 | 1 | |a Berlin u.a. |b Springer |c 1994 | |
| 300 | |a XI, 116 S. | ||
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| 650 | 7 | |a Fonction harmonique |2 Jussieu | |
| 650 | 4 | |a Fonctions harmoniques | |
| 650 | 7 | |a Fourier, Analyse de |2 ram | |
| 650 | 7 | |a Fourier-analyse |2 gtt | |
| 650 | 4 | |a Hardy, Espaces de | |
| 650 | 7 | |a Hardy, Espaces de |2 ram | |
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| 650 | 4 | |a Intégrales singulières | |
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Datensatz im Suchindex
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| adam_text | Table of Contents
Page
Introduction IX
Chapter 1: Clifford Algebras 1
§1.1 Real and complex Clifford algebras 1
§1.2 Elements of Clifford Analysis 5
§1.3 Clifford modules 11
Chapter 2: Constructions of Clifford Wavelets 16
§2.1 Accretive forms and accretive operators 17
§2.2 Clifford Multiresolution Analysis. The abstract setting 18
§2.3 Bases in the wavelet spaces 23
§2.4 Clifford Multiresolution Analyses of L2(Rm) ® C(n) 26
§2.5 Haar Clifford wavelets 30
Chapter 3: The L2 Boundedness of Clifford Algebra Valued Singular Integral
Operators 42
§3.1 The higher dimensional Cauchy integral 43
§3.2 The Clifford algebra version of the T(b) theorem 53
Chapter 4: Hardy Spaces of Monogenic Functions 60
§4.1 Maximal function characterizations 61
§4.2 Boundary behavior 70
§4.3 Square function characterizations 73
§4.4 The regularity of the Cauchy operator 82
VII
Chapter 5: Applications to the Theory of Harmonic Functions 87
§5.1 Potentials of single and double layers 87
§5.2 L2—estimates at the boundary 90
§5.3 Boundary value problems for the Laplace operator in Lipschitz do¬
mains 93
§5.4 A Burkholder Gundy Silverstein type theorem for monogenic functions
and applications 98
References 106
Notational Index 113
Subject Index 114
VIII
|
| any_adam_object | 1 |
| author | Mitrea, Marius |
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| dewey-raw | 510 515/.785 |
| dewey-search | 510 515/.785 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| language | English |
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| physical | XI, 116 S. |
| publishDate | 1994 |
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| spelling | Mitrea, Marius Verfasser aut Clifford wavelets, singular integrals, and Hardy spaces Marius Mitrea Berlin u.a. Springer 1994 XI, 116 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1575 Algèbre Clifford Jussieu Clifford, Algèbres de Clifford, Algèbres de ram Clifford-algebra's gtt Espace Hardy Jussieu Fonction harmonique Jussieu Fonctions harmoniques Fourier, Analyse de ram Fourier-analyse gtt Hardy, Espaces de Hardy, Espaces de ram Intégrale singulière Jussieu Intégrales singulières Intégrales singulières ram Ondelette Clifford Jussieu Ondelettes Théorème Burkholder-Gundy-Silverstein Jussieu Clifford algebras Fourier analysis Hardy spaces Singular integrals Singulärer Integraloperator (DE-588)4131249-1 gnd rswk-swf Hardy-Raum (DE-588)4159109-4 gnd rswk-swf Clifford-Algebra (DE-588)4199958-7 gnd rswk-swf Singuläres Integral (DE-588)4181533-6 gnd rswk-swf Wavelet (DE-588)4215427-3 gnd rswk-swf Clifford-Algebra (DE-588)4199958-7 s Wavelet (DE-588)4215427-3 s Singulärer Integraloperator (DE-588)4131249-1 s DE-604 Singuläres Integral (DE-588)4181533-6 s Hardy-Raum (DE-588)4159109-4 s Lecture notes in mathematics 1575 (DE-604)BV000676446 1575 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006157771&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mitrea, Marius Clifford wavelets, singular integrals, and Hardy spaces Lecture notes in mathematics Algèbre Clifford Jussieu Clifford, Algèbres de Clifford, Algèbres de ram Clifford-algebra's gtt Espace Hardy Jussieu Fonction harmonique Jussieu Fonctions harmoniques Fourier, Analyse de ram Fourier-analyse gtt Hardy, Espaces de Hardy, Espaces de ram Intégrale singulière Jussieu Intégrales singulières Intégrales singulières ram Ondelette Clifford Jussieu Ondelettes Théorème Burkholder-Gundy-Silverstein Jussieu Clifford algebras Fourier analysis Hardy spaces Singular integrals Singulärer Integraloperator (DE-588)4131249-1 gnd Hardy-Raum (DE-588)4159109-4 gnd Clifford-Algebra (DE-588)4199958-7 gnd Singuläres Integral (DE-588)4181533-6 gnd Wavelet (DE-588)4215427-3 gnd |
| subject_GND | (DE-588)4131249-1 (DE-588)4159109-4 (DE-588)4199958-7 (DE-588)4181533-6 (DE-588)4215427-3 |
| title | Clifford wavelets, singular integrals, and Hardy spaces |
| title_auth | Clifford wavelets, singular integrals, and Hardy spaces |
| title_exact_search | Clifford wavelets, singular integrals, and Hardy spaces |
| title_full | Clifford wavelets, singular integrals, and Hardy spaces Marius Mitrea |
| title_fullStr | Clifford wavelets, singular integrals, and Hardy spaces Marius Mitrea |
| title_full_unstemmed | Clifford wavelets, singular integrals, and Hardy spaces Marius Mitrea |
| title_short | Clifford wavelets, singular integrals, and Hardy spaces |
| title_sort | clifford wavelets singular integrals and hardy spaces |
| topic | Algèbre Clifford Jussieu Clifford, Algèbres de Clifford, Algèbres de ram Clifford-algebra's gtt Espace Hardy Jussieu Fonction harmonique Jussieu Fonctions harmoniques Fourier, Analyse de ram Fourier-analyse gtt Hardy, Espaces de Hardy, Espaces de ram Intégrale singulière Jussieu Intégrales singulières Intégrales singulières ram Ondelette Clifford Jussieu Ondelettes Théorème Burkholder-Gundy-Silverstein Jussieu Clifford algebras Fourier analysis Hardy spaces Singular integrals Singulärer Integraloperator (DE-588)4131249-1 gnd Hardy-Raum (DE-588)4159109-4 gnd Clifford-Algebra (DE-588)4199958-7 gnd Singuläres Integral (DE-588)4181533-6 gnd Wavelet (DE-588)4215427-3 gnd |
| topic_facet | Algèbre Clifford Clifford, Algèbres de Clifford-algebra's Espace Hardy Fonction harmonique Fonctions harmoniques Fourier, Analyse de Fourier-analyse Hardy, Espaces de Intégrale singulière Intégrales singulières Ondelette Clifford Ondelettes Théorème Burkholder-Gundy-Silverstein Clifford algebras Fourier analysis Hardy spaces Singular integrals Singulärer Integraloperator Hardy-Raum Clifford-Algebra Singuläres Integral Wavelet |
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