Algebras of pseudodifferential operators:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Dordrecht [u.a.]
Kluwer
1989
|
| Series: | Mathematics and its applications / Soviet series
43 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus d. Russ. übers. |
| Physical Description: | VIII, 291 S. |
| ISBN: | 0792302311 |
Staff View
MARC
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| 100 | 1 | |a Plamenevskij, Boris A. |e Verfasser |4 aut | |
| 240 | 1 | 0 | |a Algebry psevdodifferencial'nych operatorov |
| 245 | 1 | 0 | |a Algebras of pseudodifferential operators |c B. A. Plamenevskii |
| 264 | 1 | |a Dordrecht [u.a.] |b Kluwer |c 1989 | |
| 300 | |a VIII, 291 S. | ||
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| 490 | 1 | |a Mathematics and its applications / Soviet series |v 43 | |
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Record in the Search Index
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| adam_text | Table of Contents
Series Editor s Preface v
Introduction 1
Chapter 1.
Integral transforms on a sphere 5
1. The generalized kernels (xyY^ , (±xy + iOy 5
2. The operator E(K), its relation with the Fourier and Mellin transform 8
3. The action ofE( ) on spherical functions 11
4. Operators related with the transform E(X) 16
5. The spaces HS( ,S ~ ). The operator £( ) on the spaces H ( ,S ^) 22
6. An analog of the Paley Wiener theorem for the operator E(X) 29
Chapter 2.
The Fourier transform and convolution operators on spaces with weighted norms 37
1. The spaces H^iH ) 38
2. The Fourier transform on the spaces Hp(R ) 39
3. Convolution operator on the spaces //^(R ) 43
4. The spaces Hsp(Rm,Km ) 47
5. Transversal operators and special representations 51
6. Estimates for the convolution operator on the spaces //^(Rm,Rm ) 60
Chapter 3.
Meromorphic pseudodifferential operators 73
1. Canonical meromorphic pseudodifferential operators 74
2. Operations on canonical meromorphic pseudodifferential operators 83
3. General meromorphic pseudodifferential operators 88
4. Traces of meromorphic pseudodifferential operators 97
5. Meromorphic pseudodifferential operators on strongly oscillating functions 106
6. Estimates for meromorphic pseudodifferential operators 116
7. Periodic meromorphic pseudodifferential operators 122
8. Change of variables in meromorphic pseudodifferential operators 130
viii Table of Contents
Chapter 4.
Pseudodifferential operators with discontinuous symbols
on manifolds with conical singularities 133
1. Pseudodifferential operators on R 134
2. Pseudodifferential operators on a conic manifold 146
3. Pseudodifferential operators on manifolds with conical points 163
4. Algebras generated by pseudodifferential operators of order zero 168
Chapter 5.
The spectrum of a C algebra of pseudodifferential operators
with discontinuous symbols on a closed manifold 181
1. Results from the theory of C algebras 182
2. The spectrum of a C algebra of pseudodifferential operators with discontinuities of the
first kind in the symbols on a smooth closed manifold (statement of the main theorem) 187
3. Representations of the algebra ®(X) generated by the operators E(X) ~1 I ( J , o)E( ) 191
4. Representations of an algebra {lx) 196
5. Proof of theorem 2.1 202
6. Ideals in the algebra of pseudodifferential operators with discontinuous symbols 209
7. Spectra ofC algebras of pseudodifferential operators on a manifold with conical points.... 213
8. The spectrum ofa C algebra of pseudodifferential operators with oscillating symbols 228
Chapter 6.
The spectrum of a C algebra of pseudodifferential operators on a manifold with boundary 235
1. The algebras ©,7 (X) 235
2. The algebras © (X) 245
3. The algebras®; (lp) 257
4. The algebras © + (ip) 265
5. The spectrum of an algebra of pseudodifferential operators on a manifold with boundary.... 273
Bibliographical sketch 279
References 281
Index 287
|
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| author | Plamenevskij, Boris A. |
| author_facet | Plamenevskij, Boris A. |
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| author_sort | Plamenevskij, Boris A. |
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| id | DE-604.BV004067223 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:08:04Z |
| institution | BVB |
| isbn | 0792302311 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002543415 |
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| owner | DE-12 DE-384 DE-739 DE-703 DE-188 DE-11 |
| owner_facet | DE-12 DE-384 DE-739 DE-703 DE-188 DE-11 |
| physical | VIII, 291 S. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | Kluwer |
| record_format | marc |
| series2 | Mathematics and its applications / Soviet series |
| spelling | Plamenevskij, Boris A. Verfasser aut Algebry psevdodifferencial'nych operatorov Algebras of pseudodifferential operators B. A. Plamenevskii Dordrecht [u.a.] Kluwer 1989 VIII, 291 S. txt rdacontent n rdamedia nc rdacarrier Mathematics and its applications / Soviet series 43 Aus d. Russ. übers. Pseudodifferentialoperator (DE-588)4047640-6 gnd rswk-swf C-Stern-Algebra (DE-588)4136693-1 gnd rswk-swf Pseudodifferentialoperator (DE-588)4047640-6 s C-Stern-Algebra (DE-588)4136693-1 s DE-604 Soviet series Mathematics and its applications 43 (DE-604)BV004708148 43 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002543415&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Plamenevskij, Boris A. Algebras of pseudodifferential operators Pseudodifferentialoperator (DE-588)4047640-6 gnd C-Stern-Algebra (DE-588)4136693-1 gnd |
| subject_GND | (DE-588)4047640-6 (DE-588)4136693-1 |
| title | Algebras of pseudodifferential operators |
| title_alt | Algebry psevdodifferencial'nych operatorov |
| title_auth | Algebras of pseudodifferential operators |
| title_exact_search | Algebras of pseudodifferential operators |
| title_full | Algebras of pseudodifferential operators B. A. Plamenevskii |
| title_fullStr | Algebras of pseudodifferential operators B. A. Plamenevskii |
| title_full_unstemmed | Algebras of pseudodifferential operators B. A. Plamenevskii |
| title_short | Algebras of pseudodifferential operators |
| title_sort | algebras of pseudodifferential operators |
| topic | Pseudodifferentialoperator (DE-588)4047640-6 gnd C-Stern-Algebra (DE-588)4136693-1 gnd |
| topic_facet | Pseudodifferentialoperator C-Stern-Algebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002543415&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV004708148 |
| work_keys_str_mv | AT plamenevskijborisa algebrypsevdodifferencialnychoperatorov AT plamenevskijborisa algebrasofpseudodifferentialoperators |