Boundary values and convolution in ultradistribution spaces:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Singapore [u.a.]
World Scientific
2007
|
| Schriftenreihe: | Series on analysis, applications and computation
1 |
| Schlagworte: | |
| Online-Zugang: | lizenzfrei Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 205 - 212 |
| Beschreibung: | XII, 217 S. |
| ISBN: | 9812707697 9789812707697 |
Internformat
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Datensatz im Suchindex
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| adam_text | IMAGE 1
^| SERIES ON ANALYSIS, APPLICATIONS AND COMPUTATION - VOL. 1
BOUNDARY VALUES
AND CONVOLUTION IN ULTRADISTRIBUTION SPACES
RICHARD D CARMICHAEL WAKE FOREST UNIVERSITY, USA
ANDRZEJ KAMIRISKI UNIVERSITY OF RZESZOW, POLAND
STEVAN PILIPOVIC UNIVERSITY OF NOVI SAD, SERBIA
WORLD SCIENTIFIC
NEW JERSEY * LONDON * SINGAPORE * BEIJING * SHANGHAI * HONG KONG *
TAIPEI * CHENNAI
IMAGE 2
CONTENTS
PREFACE V
1. CONES IN R N AND KERNELS 1
1.1 NOTATION 1
1.2 CONES IN M N 4
1.3 CAUCHY AND POISSON KERNELS 7
2. ULTRADIFFERENTIABLE FUNCTIONS AND ULTRADISTRIBUTIONS 13
2.1 SEQUENCES (M P ) 13
2.2 ULTRADIFFERENTIAL OPERATORS 17
2.3 FUNCTIONS AND ULTRADISTRIBUTIONS OF BEURLING AND ROUMIEU TYPE 20
2.4 FOURIER TRANSFORM ON V(*,L S ) AND V (*,L S ) 26
2.5 ULTRADIFFERENTIABLE FUNCTIONS OF ULTRAPOLYNOMIAL GROWTH . . 28 2.6
TEMPERED ULTRADISTRIBUTIONS 37
2.7 LAPLACE TRANSFORM 40
3. BOUNDEDNESS 41
3.1 BOUNDEDNESS IN V (*,L S ) 41
3.2 BOUNDEDNESS IN S 47
4. CAUCHY AND POISSON INTEGRALS 51
4.1 CAUCHY AND POISSON KERNELS AS ULTRADIFFERENTIABLE FUNCTIONS 51 4.2
CAUCHY INTEGRAL OF ULTRADISTRIBUTIONS 61
4.3 POISSON INTEGRAL OF ULTRADISTRIBUTIONS 76
5. BOUNDARY VALUES OF ANALYTIC FUNCTIONS 81
IMAGE 3
XII BOUNDARY VALUES AND CONVOLUTION IN ULTRADISTRIBUTION SPACES
5.1 GENERALIZATIONS OF H R FUNCTIONS IN TUBES 81
5.2 BOUNDARY VALUES IN V((M P ),L S ) FOR ANALYTIC FUNCTIONS IN TUBES 91
5.3 CASE 2 R OO I LL
5.4 BOUNDARY VALUES VIA ALMOST ANALYTIC EXTENSIONS 118 5.5 CASES S = OO
AND S = 1 129
6. CONVOLUTION OF ULTRADISTRIBUTIONS 135
6.1 INTRODUCTION 135
6.2 DEFINITIONS OF (MP) -CONVOLUTION 137
6.3 EQUIVALENCE OF DEFINITIONS OF V L(MV) -CONVOLUTION 140 6.4
DEFINITIONS OF S {MP) -CONVOLUTION 147
6.5 EQUIVALENCE OF DEFINITIONS OF S MP -CONVOLUTION 150 6.6 EXISTENCE
OF P ( M P ) - A ND S (MP) -CONVOLUTION 153
6.7 COMPATIBILITY CONDITIONS ON SUPPORTS 157
6.8 CONVOLUTION IN WEIGHTED SPACES 162
7. INTEGRAL TRANSFORMS OF TEMPERED ULTRADISTRIBUTIONS 173
7.1 INTRODUCTORY REMARKS 173
7.2 DEFINITIONS 174
7.3 CHARACTERIZATIONS OF SOME INTEGRAL TRANSFORMS 179 7.4 LAPLACE
TRANSFORM 180
7.5 PROOF OF EQUIVALENCE OF FAMILIES OF NORMS 182
7.6 HILBERT TRANSFORM 186
7.6.1 ONE-DIMENSIONAL CASE 187
7.6.2 MULTI-DIMENSIONAL CASE 196
7.7 SINGULAR INTEGRAL OPERATORS 199
BIBLIOGRAPHY 205
INDEX 213
|
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| author | Carmichael, Richard D. |
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| bvnumber | BV037265629 |
| classification_rvk | SK 450 |
| ctrlnum | (OCoLC)637122393 (DE-599)GBV556701763 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV037265629 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T22:54:47Z |
| institution | BVB |
| isbn | 9812707697 9789812707697 |
| language | English |
| lccn | 2007300168 |
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| physical | XII, 217 S. |
| publishDate | 2007 |
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| publisher | World Scientific |
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| series | Series on analysis, applications and computation |
| series2 | Series on analysis, applications and computation |
| spelling | Carmichael, Richard D. Verfasser aut Boundary values and convolution in ultradistribution spaces Richard D. Carmichael ; Andrzej Kamiński ; Stevan Pilipović Singapore [u.a.] World Scientific 2007 XII, 217 S. txt rdacontent n rdamedia nc rdacarrier Series on analysis, applications and computation 1 Literaturverz. S. 205 - 212 Randwertproblem (DE-588)4048395-2 gnd rswk-swf Ultradistribution (DE-588)4760360-4 gnd rswk-swf Integraltransformation (DE-588)4027235-7 gnd rswk-swf (DE-588)4173536-5 Patentschrift gnd-content Ultradistribution (DE-588)4760360-4 s Randwertproblem (DE-588)4048395-2 s Integraltransformation (DE-588)4027235-7 s DE-604 Kamiński, Andrzej Sonstige (DE-588)141504749 oth Pilipović, Stevan Sonstige oth Series on analysis, applications and computation 1 (DE-604)BV025564855 1 http://www.loc.gov/catdir/toc/fy0803/2007300168.html lizenzfrei Inhaltsverzeichnis GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021178676&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Carmichael, Richard D. Boundary values and convolution in ultradistribution spaces Series on analysis, applications and computation Randwertproblem (DE-588)4048395-2 gnd Ultradistribution (DE-588)4760360-4 gnd Integraltransformation (DE-588)4027235-7 gnd |
| subject_GND | (DE-588)4048395-2 (DE-588)4760360-4 (DE-588)4027235-7 (DE-588)4173536-5 |
| title | Boundary values and convolution in ultradistribution spaces |
| title_auth | Boundary values and convolution in ultradistribution spaces |
| title_exact_search | Boundary values and convolution in ultradistribution spaces |
| title_full | Boundary values and convolution in ultradistribution spaces Richard D. Carmichael ; Andrzej Kamiński ; Stevan Pilipović |
| title_fullStr | Boundary values and convolution in ultradistribution spaces Richard D. Carmichael ; Andrzej Kamiński ; Stevan Pilipović |
| title_full_unstemmed | Boundary values and convolution in ultradistribution spaces Richard D. Carmichael ; Andrzej Kamiński ; Stevan Pilipović |
| title_short | Boundary values and convolution in ultradistribution spaces |
| title_sort | boundary values and convolution in ultradistribution spaces |
| topic | Randwertproblem (DE-588)4048395-2 gnd Ultradistribution (DE-588)4760360-4 gnd Integraltransformation (DE-588)4027235-7 gnd |
| topic_facet | Randwertproblem Ultradistribution Integraltransformation Patentschrift |
| url | http://www.loc.gov/catdir/toc/fy0803/2007300168.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021178676&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV025564855 |
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