An introduction to pseudo-differential operators:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Singapore [u.a.]
World Scientific Publ.
2014
|
| Edition: | 3. ed. |
| Series: | Series on analysis, applications and computation
6 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Item Description: | Literaturverz. S. 181 - 182 |
| Physical Description: | X, 184 S. |
| ISBN: | 9789814583084 |
Staff View
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| 245 | 1 | 0 | |a An introduction to pseudo-differential operators |c M. W. Wong |
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface v
1. Introduction, Notation and Preliminaries 1
2. Differentiation of Integrals Depending on Parameters 5
3. The Convolution 9
4. The Fourier Transform 17
5. Tempered Distributions 27
6. Symbols, Pseudo-Differential Operators and
Asymptotic Expansions 31
7. A Partition of Unity and Taylor’s Formula 43
8. The Product of Two Pseudo-Differential Operators 55
9. The Formal Adjoint of a Pseudo-Differential Operator 61
10. The Parametnx of an Elliptic Pseudo-Differential Operator 69
11. ZT-Boundedness of Pseudo-Differential Operators 75
12. The Sobolev Spaces H8p, - oc s oc, l p oc 87
IX
x An Introduction to Pseudo-Differential Operators, 3rd Edition
13. Closed Linear Operators 95
14. Minimal and Maximal Pseudo-Differential Operators 99
15. Global Regularity of Elliptic Partial Differential Equations 105
16. Weak Solutions of Pseudo-Differential Equations 109
17. Garding s Inequality 113
18. Strong Solutions of Pseudo-Differential Equations 121
19. One-Parameter Semigroups Generated by
Pseudo-Differential Operators 129
20. Fredholm Operators 143
21. Fredholm Pseudo-Differential Operators 155
22. Symmetrically Global Pseudo-Differential Operators 167
23. Spectral Invariance of Symmetrically
Global Pseudo-Differential Operators 177
Bibliography 181
Index 183
An Introduction to
Pseudo-Differential Operators
3rd Edition
The aim of this third edition is to give an accessible and essentially self-
contained account of pseudo-differential operators based on the previous
edition. New chapters notwithstanding, the elementary and detailed style
of earlier editions is maintained in order to appeal to the largest possible
group of readers. The focus of this book is on the global theory of elliptic
pseudo-differential operators on Lp(Rri).
The main prerequisite for a complete understanding of the book is a basic
course in functional analysis up to the level of compact operators. It is an
idea] introduction for graduate students i n mathematics and mathematicians
who aspire to do research in pseudo-differential operators and related
topics.
|
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| author | Wong, Man Wah 1951- |
| author_GND | (DE-588)1013960645 |
| author_facet | Wong, Man Wah 1951- |
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| author_sort | Wong, Man Wah 1951- |
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| bvnumber | BV041997572 |
| classification_rvk | SK 620 |
| ctrlnum | (OCoLC)885210205 (DE-599)OBVAC11669627 |
| dewey-full | 515.7242 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7242 |
| dewey-search | 515.7242 |
| dewey-sort | 3515.7242 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 3. ed. |
| format | Book |
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| id | DE-604.BV041997572 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:10:12Z |
| institution | BVB |
| isbn | 9789814583084 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027439686 |
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| physical | X, 184 S. |
| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| publisher | World Scientific Publ. |
| record_format | marc |
| series | Series on analysis, applications and computation |
| series2 | Series on analysis, applications and computation |
| spelling | Wong, Man Wah 1951- Verfasser (DE-588)1013960645 aut An introduction to pseudo-differential operators M. W. Wong 3. ed. Singapore [u.a.] World Scientific Publ. 2014 X, 184 S. txt rdacontent n rdamedia nc rdacarrier Series on analysis, applications and computation 6 Literaturverz. S. 181 - 182 Pseudodifferentialoperator (DE-588)4047640-6 gnd rswk-swf Pseudodifferentialoperator (DE-588)4047640-6 s DE-604 Series on analysis, applications and computation 6 (DE-604)BV025564855 6 Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027439686&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027439686&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Wong, Man Wah 1951- An introduction to pseudo-differential operators Series on analysis, applications and computation Pseudodifferentialoperator (DE-588)4047640-6 gnd |
| subject_GND | (DE-588)4047640-6 |
| title | An introduction to pseudo-differential operators |
| title_auth | An introduction to pseudo-differential operators |
| title_exact_search | An introduction to pseudo-differential operators |
| title_full | An introduction to pseudo-differential operators M. W. Wong |
| title_fullStr | An introduction to pseudo-differential operators M. W. Wong |
| title_full_unstemmed | An introduction to pseudo-differential operators M. W. Wong |
| title_short | An introduction to pseudo-differential operators |
| title_sort | an introduction to pseudo differential operators |
| topic | Pseudodifferentialoperator (DE-588)4047640-6 gnd |
| topic_facet | Pseudodifferentialoperator |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027439686&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027439686&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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