Distributions and analytic functions:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Harlow, Essex
Longman Scientific & Technical u.a.
1989
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Pitman research notes in mathematics series
206 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 347 S. |
| ISBN: | 0582018560 |
Internformat
MARC
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| 100 | 1 | |a Carmichael, Richard D. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Distributions and analytic functions |c Richard D. Carmichael ; Dragiša Mitrović |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Harlow, Essex |b Longman Scientific & Technical u.a. |c 1989 | |
| 300 | |a 347 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Pitman research notes in mathematics series |v 206 | |
| 650 | 7 | |a Analytische functies |2 gtt | |
| 650 | 7 | |a Fonctions analytiques |2 ram | |
| 650 | 4 | |a Analytic functions | |
| 650 | 4 | |a Theory of distributions (Functional analysis) | |
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| 700 | 1 | |a Mitrović, Dragiša |e Verfasser |4 aut | |
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Datensatz im Suchindex
| _version_ | 1804116928964329472 |
|---|---|
| adam_text | Contents
Preface
Dedication
Chapter 1 Spaces and properties of distributions 1
1.1 Introduction and preliminaries 1
1.2 The spaces D and D1 5
1.3 The spaces E and E 15
1.4 The spaces S and S 18
1.5 The spaces 0 and 0 23
1.6 The spaces D and D1 27
L L
1.7 Convolution of distributions 29
1.8 The Fourier transform 35
1.9 The spaces Z and Z 39
Chapter 2 Distributional boundary values of 42
analytic functions in one dimension
2.1 Introduction 42
2.2 Distributional analytic continuation 46
2.3 Analytic representation of distributions 54
in E1(K)
2.4 Analytic representation of distributions 72
in 0 (K)
2.5 Distributional Plemelj relations and boundary 83
value theorems
2.6 Representation of half plane analytic and 89
meromorphic functions
2.7 Equivalence of convergence in D (IR) and CV(K) 103
2.8 Comments on Chapter 2 106
Chapter 3 Applications of distributional boundary 111
values
3.1 Introduction 111
3.2 Applications to boundary value problems 116
3.3 Applications to singular convolution equations 135
3.4 Comments on Chapter 3 146
Chapter 4 Analytic functions in C , cones, and 150
kernel functions
4.1 Introduction 150
4.2 Analytic functions of several complex 151
variables
4.3 Cones in Kn and tubes in Cn 153
4.4 Cauchy and Poisson kernel functions 157
4.5 H^ functions in tubes 167
4.6 Growth of Hp functions in tubes 174
4.7 Fourier Laplace transform of distributions 179
and boundary values
4.8 Comments on Chapter 4 201
Chapter 5 Distributional boundary values of 205
analytic functions in n dimensions
5.1 Introduction 205
5.2 Analytic representation of distributions 206
in E : the scalar valued case
5.3 Analytic representation of vector valued 222
distributions of compact support
5.4 Analytic representation of distributions in 0 230
5.5 Analytic representation of distributions in D 232
5.6 Comments on Chapter 5 258
Chapter 6 The Cauchy integral of tempered 260
distributions and applications in
n dimensions
6.1 Introduction 260
6.2 The Cauchy integral of tempered distributions: 262
the case corresponding to the quadrants in K
6.3 Cauchy integral representation of the analytic 280
functions which have S boundary values
6.4 The Cauchy integral of tempered distributions: 295
the case corresponding to arbitrary regular
cones in IRn
6.5 Analytic functions which have S boundary 301
values and which are H™ functions
6.6 Fourier Laplace integral representation of 321
H^ functions
6.7 Comments on Chapter 6 327
References 333
Index 345
|
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| dewey-ones | 515 - Analysis |
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| dewey-search | 515.7/82 515/.223 |
| dewey-sort | 3515.7 282 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. publ. |
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| id | DE-604.BV002526642 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:46:18Z |
| institution | BVB |
| isbn | 0582018560 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001625102 |
| oclc_num | 18907077 |
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| physical | 347 S. |
| publishDate | 1989 |
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| publisher | Longman Scientific & Technical u.a. |
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| series | Pitman research notes in mathematics series |
| series2 | Pitman research notes in mathematics series |
| spelling | Carmichael, Richard D. Verfasser aut Distributions and analytic functions Richard D. Carmichael ; Dragiša Mitrović 1. publ. Harlow, Essex Longman Scientific & Technical u.a. 1989 347 S. txt rdacontent n rdamedia nc rdacarrier Pitman research notes in mathematics series 206 Analytische functies gtt Fonctions analytiques ram Analytic functions Theory of distributions (Functional analysis) Distribution Funktionalanalysis (DE-588)4070505-5 gnd rswk-swf Analytische Funktion (DE-588)4142348-3 gnd rswk-swf Distribution Funktionalanalysis (DE-588)4070505-5 s Analytische Funktion (DE-588)4142348-3 s DE-604 Mitrović, Dragiša Verfasser aut Pitman research notes in mathematics series 206 (DE-604)BV000022845 206 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001625102&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Carmichael, Richard D. Mitrović, Dragiša Distributions and analytic functions Pitman research notes in mathematics series Analytische functies gtt Fonctions analytiques ram Analytic functions Theory of distributions (Functional analysis) Distribution Funktionalanalysis (DE-588)4070505-5 gnd Analytische Funktion (DE-588)4142348-3 gnd |
| subject_GND | (DE-588)4070505-5 (DE-588)4142348-3 |
| title | Distributions and analytic functions |
| title_auth | Distributions and analytic functions |
| title_exact_search | Distributions and analytic functions |
| title_full | Distributions and analytic functions Richard D. Carmichael ; Dragiša Mitrović |
| title_fullStr | Distributions and analytic functions Richard D. Carmichael ; Dragiša Mitrović |
| title_full_unstemmed | Distributions and analytic functions Richard D. Carmichael ; Dragiša Mitrović |
| title_short | Distributions and analytic functions |
| title_sort | distributions and analytic functions |
| topic | Analytische functies gtt Fonctions analytiques ram Analytic functions Theory of distributions (Functional analysis) Distribution Funktionalanalysis (DE-588)4070505-5 gnd Analytische Funktion (DE-588)4142348-3 gnd |
| topic_facet | Analytische functies Fonctions analytiques Analytic functions Theory of distributions (Functional analysis) Distribution Funktionalanalysis Analytische Funktion |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001625102&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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