Pseudo-differential operators on manifolds with singularities:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam u.a.
North-Holland
1991
|
| Schriftenreihe: | Studies in mathematics and its applications
24 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VI, 410 S. graph. Darst. |
| ISBN: | 0444881379 |
Internformat
MARC
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| 245 | 1 | 0 | |a Pseudo-differential operators on manifolds with singularities |c B.-W. Schulze |
| 264 | 1 | |a Amsterdam u.a. |b North-Holland |c 1991 | |
| 300 | |a VI, 410 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Studies in mathematics and its applications |v 24 | |
| 650 | 4 | |a Arête | |
| 650 | 4 | |a Développement Mellin | |
| 650 | 4 | |a Equation aux dérivées partielles | |
| 650 | 4 | |a Opérateur pseudo-différentiel | |
| 650 | 7 | |a Opérateurs pseudo-différentiels |2 ram | |
| 650 | 4 | |a Singularité conique | |
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| 650 | 4 | |a Transformation Mellin | |
| 650 | 4 | |a Variété | |
| 650 | 7 | |a Variétés (Mathématiques) |2 ram | |
| 650 | 4 | |a Manifolds (Mathematics) | |
| 650 | 4 | |a Pseudodifferential operators | |
| 650 | 4 | |a Singularities (Mathematics) | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-002894133 | ||
Datensatz im Suchindex
| _version_ | 1804118827350360064 |
|---|---|
| adam_text | Contents
Introduction 1
1. The Conormal Asymptotics on R+ 17
1.1. The Mellin Transform 17
1.1.1. Basic Properties 17
1.1.2. The Spaces W(R+), 3C *(R+) 23
1.1.3. Examples and Special Formulas 30
1.1.4. Holomorphic Functions in a Strip 31
1.1.5. Analytic Functional 36
1.2. Spaces with Conormal Asymptotics 42
1.2.1. The Spaces with Discrete Asymptotics 42
1.2.2. The Spaces with Continuous Asymptotics 51
1.2.3. Mellin Symbols and Actions 60
1.2.4. Mellin Pseudo Differential Operators 72
1.2.5. Green and Flat Operators on R+ 88
1.3. The Mellin Expansion of Operators 97
1.3.1. Operators of Lower Conormal Order 97
1.3.2. The Mellin Expansions 115
1.3.3. Operators with Mellin Expansions at Zero 119
1.3.4. Examples and Remarks (The Mellin Calculus of
Standard ipDO s on R+) 125
2. Operators on Manifolds with Conical
Singularities 135
2.0. Preliminary Remarks 135
2.1. Spaces with Conormal Asymptotics for the Cone 137
2.1.1. The Spaces with Continuous and Discrete
Asymptotics 137
2.1.2. Operator Valued Mellin Symbols 153
2.1.3. Mellin Fourier Pseudo Differential Operators I 161
2.1.4. Mellin Fourier Pseudo Differential Operators II 171
2.1.5. Green and Flat Cone Operators 184
2.1.6. Appendix I (Mellin Sobolev Spaces and Reductions
ofOrders) 189
2.1.7. Appendix II (Polar Coordinates intpDO s) 195
VI Contents
2.2. The Mellin Expansions for the Cone 202
2.2.1. Operators with Finite Mellin Expansions 202
2.2.2. Operators with Asymptotic Mellin Expansions 214
2.2.3. Operators on Manifolds with Conical Singularities 216
2.2.4. Operators on R+ XX in the af*1 Spaces 228
2.2.5. Appendix (Meromorphic Operator Functions) 236
2.3. The Parameter Dependent Cone Calculus 242
2.3.1. The Cone Algebra with Parameters 242
2.3.2. C°° Dependence of the Point Wise Discrete Class 250
2.3.3. Branching of Asymptotics Near an Edge 258
3. Operators on Manifolds with Edges 266
3.1. Preliminary Constructions 268
3.1.1. Motivation of the Approach 268
3.1.2. Abstract Sobolev Spaces with Respect to an Edge 272
3.2. Pseudo Differential Operators with Operator Valued
Symbols 280
3.2.1. Amplitude Functions and Continuity of ipDO s 281
3.2.2. The Standard Elements of the Calculus 287
3.2.3. The Scale Axiom 299
3.2.4. Amplitude Functions with Reductions of Orders 303
3.2.5. Edge Spaces with Asymptotics 307
3.3. Pseudo Differential Operators on Manifolds
with Edges 325
3.3.1. Pseudo Differential Operators of Wedge Type I 325
3.3.2. Pseudo Differential Operators of Wedge Type II 337
3.3.3. Subalgebras with Asymptotics 347
3.3.4. Edge Boundary Value Problems 358
3.3.5. Ellipticity, Fredholm Property, Asymptotics
ofSolutions 372
3.3.6. Examples and Remarks (ipDO s without
the Transmission Property) 384
References 395
Index 402
Symbol Index 407
|
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| id | DE-604.BV004709065 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:16:29Z |
| institution | BVB |
| isbn | 0444881379 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002894133 |
| oclc_num | 25253337 |
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| owner_facet | DE-12 DE-355 DE-BY-UBR DE-703 DE-706 DE-11 DE-188 |
| physical | VI, 410 S. graph. Darst. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | North-Holland |
| record_format | marc |
| series | Studies in mathematics and its applications |
| series2 | Studies in mathematics and its applications |
| spelling | Schulze, Bert-Wolfgang 1944- Verfasser (DE-588)120484579 aut Pseudo-differential operators on manifolds with singularities B.-W. Schulze Amsterdam u.a. North-Holland 1991 VI, 410 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Studies in mathematics and its applications 24 Arête Développement Mellin Equation aux dérivées partielles Opérateur pseudo-différentiel Opérateurs pseudo-différentiels ram Singularité conique Singularités (Mathématiques) ram Transformation Mellin Variété Variétés (Mathématiques) ram Manifolds (Mathematics) Pseudodifferential operators Singularities (Mathematics) Singularität Mathematik (DE-588)4077459-4 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 gnd rswk-swf Pseudodifferentialoperator (DE-588)4047640-6 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 s Singularität Mathematik (DE-588)4077459-4 s Pseudodifferentialoperator (DE-588)4047640-6 s DE-604 Studies in mathematics and its applications 24 (DE-604)BV000000646 24 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002894133&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schulze, Bert-Wolfgang 1944- Pseudo-differential operators on manifolds with singularities Studies in mathematics and its applications Arête Développement Mellin Equation aux dérivées partielles Opérateur pseudo-différentiel Opérateurs pseudo-différentiels ram Singularité conique Singularités (Mathématiques) ram Transformation Mellin Variété Variétés (Mathématiques) ram Manifolds (Mathematics) Pseudodifferential operators Singularities (Mathematics) Singularität Mathematik (DE-588)4077459-4 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd Pseudodifferentialoperator (DE-588)4047640-6 gnd |
| subject_GND | (DE-588)4077459-4 (DE-588)4037379-4 (DE-588)4047640-6 |
| title | Pseudo-differential operators on manifolds with singularities |
| title_auth | Pseudo-differential operators on manifolds with singularities |
| title_exact_search | Pseudo-differential operators on manifolds with singularities |
| title_full | Pseudo-differential operators on manifolds with singularities B.-W. Schulze |
| title_fullStr | Pseudo-differential operators on manifolds with singularities B.-W. Schulze |
| title_full_unstemmed | Pseudo-differential operators on manifolds with singularities B.-W. Schulze |
| title_short | Pseudo-differential operators on manifolds with singularities |
| title_sort | pseudo differential operators on manifolds with singularities |
| topic | Arête Développement Mellin Equation aux dérivées partielles Opérateur pseudo-différentiel Opérateurs pseudo-différentiels ram Singularité conique Singularités (Mathématiques) ram Transformation Mellin Variété Variétés (Mathématiques) ram Manifolds (Mathematics) Pseudodifferential operators Singularities (Mathematics) Singularität Mathematik (DE-588)4077459-4 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd Pseudodifferentialoperator (DE-588)4047640-6 gnd |
| topic_facet | Arête Développement Mellin Equation aux dérivées partielles Opérateur pseudo-différentiel Opérateurs pseudo-différentiels Singularité conique Singularités (Mathématiques) Transformation Mellin Variété Variétés (Mathématiques) Manifolds (Mathematics) Pseudodifferential operators Singularities (Mathematics) Singularität Mathematik Mannigfaltigkeit Pseudodifferentialoperator |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002894133&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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| work_keys_str_mv | AT schulzebertwolfgang pseudodifferentialoperatorsonmanifoldswithsingularities |