Elementary introduction to the theory of pseudodifferential operators:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton, Fla.[u.a.]
CRC Press
1991
|
| Series: | Studies in advanced mathematics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 108 S. |
| ISBN: | 0849371589 |
Staff View
MARC
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| 245 | 1 | 0 | |a Elementary introduction to the theory of pseudodifferential operators |c Xavier Saint Raymond |
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface
vìi
1
Fourier Transformation and Sobolev Spaces
1
Introduction
1
1.1
Functions in Kn
2
1.2
Fourier transformation and distributions in E™
9
1.3
Sobolev spaces
17
Exercises
23
Notes on Chapter
1 27
2
Pseudodijferential Symbols
28
Introduction to Chapters
2
and
3 28
2.1
Definition and approximation of symbols
29
2.2
Oscillatory integrals
32
2.3
Operations on symbols
37
Exercises
43
J Pseudodifferential
Operators
47
3.1
Action in
S
and <S
47
3.2
Action in Sobolev spaces
52
3.3
Invariance
under a change of variables
58
Exercises
61
Notes on Chapters
2
and
3 67
4
Applications
69
Introduction
69
4.1
Local solvability of linear differential operators
70
4.2
Wave front sets of solutions of partial
differential equations
76
4.3
The Cauchy problem for the wave equation
83
Exercises
89
Notes on Chapter
4
94
Bibliography
97
Index of Notation
103
Index
107
|
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| indexdate | 2024-07-09T16:49:11Z |
| institution | BVB |
| isbn | 0849371589 |
| language | English |
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| spelling | Saint Raymond, Xavier Verfasser aut Elementary introduction to the theory of pseudodifferential operators Xavier Saint Raymond Boca Raton, Fla.[u.a.] CRC Press 1991 VIII, 108 S. txt rdacontent n rdamedia nc rdacarrier Studies in advanced mathematics Opérateurs pseudo-différentiels Pseudodifferential operators Pseudodifferentialoperator (DE-588)4047640-6 gnd rswk-swf Pseudodifferentialoperator (DE-588)4047640-6 s DE-604 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004222250&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Saint Raymond, Xavier Elementary introduction to the theory of pseudodifferential operators Opérateurs pseudo-différentiels Pseudodifferential operators Pseudodifferentialoperator (DE-588)4047640-6 gnd |
| subject_GND | (DE-588)4047640-6 |
| title | Elementary introduction to the theory of pseudodifferential operators |
| title_auth | Elementary introduction to the theory of pseudodifferential operators |
| title_exact_search | Elementary introduction to the theory of pseudodifferential operators |
| title_full | Elementary introduction to the theory of pseudodifferential operators Xavier Saint Raymond |
| title_fullStr | Elementary introduction to the theory of pseudodifferential operators Xavier Saint Raymond |
| title_full_unstemmed | Elementary introduction to the theory of pseudodifferential operators Xavier Saint Raymond |
| title_short | Elementary introduction to the theory of pseudodifferential operators |
| title_sort | elementary introduction to the theory of pseudodifferential operators |
| topic | Opérateurs pseudo-différentiels Pseudodifferential operators Pseudodifferentialoperator (DE-588)4047640-6 gnd |
| topic_facet | Opérateurs pseudo-différentiels Pseudodifferential operators Pseudodifferentialoperator |
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