Heat trace asymptotics for cone differential operators:
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| Main Author: | |
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| Format: | Book |
| Language: | German |
| Published: |
1998
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Potsdam, Univ., Diss., 1998 |
| Physical Description: | 87 S. |
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MARC
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CONTENTS
INTRODUCTION 1
1 TOPICS IN THE CONE CALCULUS 7
1.1 DIFFERENTIAL OPERATORS OF FUCHS TYPE. 7
1.2 CONE DIFFERENTIAL OPERATORS. 11
1.3 MELLIN PSEUDODIFFERENTIAL CALCULUS. I7
1.4 SMOOTHING MELLIN AND GREEN OPERATORS. 19
L.O ELLIPTIC CONE PSEUDODIFFERENTIAL OPERATORS. 23
2
PARAMETER-DEPENDENT CONE OPERATORS 27
2.1 A CHISS OF OPERATOR VALUED SYMBOLS. 27
2.2 RESIDUAL (DEMENTS OF MELLIN AND GREEN TYPE;. 30
2.3 DEGENERATE AND HOLOMORPLIIC OPERATOR FAMILIES. 34
2.4 PARAMETER DEPENDENT CONE OPERATORS. 34
3 PARAMETRIX AND OTHER ELEMENTS OF THE CALCULUS 41
3.1 ELLIPTICITY AND CONSTRUCTION OF THE PARAMETRIX. 41
3.2 WEAKLY PARAMETRIC HOLOMORPLIIC SYMBOLS. 4(I
3.3 FURTHER PROPERTIES OF THE GREEN OPERATORS. 53
4 HEAT TRACE ASYMPTOTICS 55
4.1 THE HEAT OPERATOR IN THE CONE CALCULUS. 55
4.2 APPROXIMATION OF THE RESOLVENT AND THE HEAT OPERATOR. GO
4.3 ASYMPTOTIC EXPANSION OF THE HEAT TRACE . GG
A PSEUDODIFFERENTIAL OPERATORS WITH PARAMETER 77
BIBLIOGRAPHY
82
BIBLIOGRAFISCHE INFORMATIONEN
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| indexdate | 2024-10-09T18:15:29Z |
| institution | BVB |
| language | German |
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| physical | 87 S. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
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| spelling | Gil Orellana, Juan B. Verfasser aut Heat trace asymptotics for cone differential operators von Juan B. Gil Orellana 1998 87 S. txt rdacontent n rdamedia nc rdacarrier Potsdam, Univ., Diss., 1998 Singularität Mathematik (DE-588)4077459-4 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 gnd rswk-swf Asymptotische Entwicklung (DE-588)4112609-9 gnd rswk-swf Pseudodifferentialoperator (DE-588)4047640-6 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Pseudodifferentialoperator (DE-588)4047640-6 s Mannigfaltigkeit (DE-588)4037379-4 s Singularität Mathematik (DE-588)4077459-4 s Asymptotische Entwicklung (DE-588)4112609-9 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008806437&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gil Orellana, Juan B. Heat trace asymptotics for cone differential operators Singularität Mathematik (DE-588)4077459-4 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd Asymptotische Entwicklung (DE-588)4112609-9 gnd Pseudodifferentialoperator (DE-588)4047640-6 gnd |
| subject_GND | (DE-588)4077459-4 (DE-588)4037379-4 (DE-588)4112609-9 (DE-588)4047640-6 (DE-588)4113937-9 |
| title | Heat trace asymptotics for cone differential operators |
| title_auth | Heat trace asymptotics for cone differential operators |
| title_exact_search | Heat trace asymptotics for cone differential operators |
| title_full | Heat trace asymptotics for cone differential operators von Juan B. Gil Orellana |
| title_fullStr | Heat trace asymptotics for cone differential operators von Juan B. Gil Orellana |
| title_full_unstemmed | Heat trace asymptotics for cone differential operators von Juan B. Gil Orellana |
| title_short | Heat trace asymptotics for cone differential operators |
| title_sort | heat trace asymptotics for cone differential operators |
| topic | Singularität Mathematik (DE-588)4077459-4 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd Asymptotische Entwicklung (DE-588)4112609-9 gnd Pseudodifferentialoperator (DE-588)4047640-6 gnd |
| topic_facet | Singularität Mathematik Mannigfaltigkeit Asymptotische Entwicklung Pseudodifferentialoperator Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008806437&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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