Asymptotic formulae in spectral geometry
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| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boca Raton u.a.
Chapman & Hall/CRC
2004
|
| Schriftenreihe: | Studies in advanced mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
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| 020 | |a 1584883588 |c alk. paper |9 1-584-88358-8 | ||
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| 100 | 1 | |a Gilkey, Peter B. |d 1946- |e Verfasser |0 (DE-588)1024266850 |4 aut | |
| 245 | 1 | 0 | |a Asymptotic formulae in spectral geometry |c Peter B. Gilkey |
| 264 | 1 | |a Boca Raton u.a. |b Chapman & Hall/CRC |c 2004 | |
| 300 | |a viii, 304 p. |b ill. : 25 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Studies in advanced mathematics | |
| 500 | |a Includes bibliographical references (p. 279-298) and index | ||
| 650 | 7 | |a Equações diferenciais |2 larpcal | |
| 650 | 7 | |a Geometria riemanniana |2 larpcal | |
| 650 | 4 | |a Géométrie spectrale | |
| 650 | 4 | |a Riemann, Variétés de | |
| 650 | 7 | |a Teoria assintotica (equações diferenciais parciais) |2 larpcal | |
| 650 | 4 | |a Équations différentielles - Théorie asymptotique | |
| 650 | 4 | |a Differential equations |x Asymptotic theory | |
| 650 | 4 | |a Riemannian manifolds | |
| 650 | 4 | |a Spectral geometry | |
| 650 | 0 | 7 | |a Spektralgeometrie |0 (DE-588)4128531-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Riemannscher Raum |0 (DE-588)4128295-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Spektralgeometrie |0 (DE-588)4128531-1 |D s |
| 689 | 0 | 1 | |a Riemannscher Raum |0 (DE-588)4128295-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012885589&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-012885589 | |
Datensatz im Suchindex
| _version_ | 1819790845693394944 |
|---|---|
| adam_text | Contents
1 Analytic preliminaries 1
1.0 Introduction 1
1.1 Riemannian geometry 3
1.2 The geometry of operators of Laplace type 14
1.3 Interior ellipticity 22
1.4 Boundary ellipticity 31
1.5 Boundary conditions I 43
1.6 Boundary conditions II 52
1.7 Invariance theory 67
1.8 Applications of the second main theorem of invariance theory 74
1.9 Chern Gauss Bonnet Theorem 90
2 Heat Content Asymptotics 93
2.0 Introduction 93
2.1 Functorial properties I 97
2.2 Functorial properties II 110
2.3 Heat content asymptotics for Dirichlet boundary conditions 123
2.4 Heat content asymptotics for Robin boundary conditions 130
2.5 Heat content asymptotics for mixed boundary conditions 135
2.6 Transmission boundary conditions 140
2.7 Transfer boundary conditions 144
2.8 Oblique boundary conditions 146
2.9 Variable geometries 149
2.10 Inhomogeneous boundary conditions 156
2.11 Non minimal operators 163
2.12 Spectral boundary conditions 165
3 Heat Trace Asymptotics 173
3.0 Introduction 173
3.1 Functorial properties I 175
3.2 Functorial properties II 188
3.3 Heat trace asymptotics for closed manifolds 200
3.4 Heat trace asymptotics for Dirichlet boundary conditions 204
3.5 Heat trace asymptotics for Robin boundary conditions 207
3.6 Heat trace asymptotics for mixed boundary conditions 212
3.7 Spectral geometry 220
3.8 Supertrace asymptotics for the Witten Laplacian 228
3.9 Leading terms in the asymptotics 239
viii Contents
3.10 Heat trace asymptotics for transmission boundary conditions 244
3.11 Heat trace asymptotics for transfer boundary conditions 247
3.12 Time dependent phenomena 251
3.13 The eta invariant 259
3.14 Spectral boundary conditions 261
3.15 Non minimal operators 265
3.16 Fourth order operators 269
3.17 Pseudo differential operators 273
References 279
Index 299
|
| any_adam_object | 1 |
| author | Gilkey, Peter B. 1946- |
| author_GND | (DE-588)1024266850 |
| author_facet | Gilkey, Peter B. 1946- |
| author_role | aut |
| author_sort | Gilkey, Peter B. 1946- |
| author_variant | p b g pb pbg |
| building | Verbundindex |
| bvnumber | BV019423999 |
| callnumber-first | Q - Science |
| callnumber-label | QA614 |
| callnumber-raw | QA614.95 |
| callnumber-search | QA614.95 |
| callnumber-sort | QA 3614.95 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 370 |
| ctrlnum | (OCoLC)53090964 (DE-599)BVBBV019423999 |
| dewey-full | 516.3/62 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/62 |
| dewey-search | 516.3/62 |
| dewey-sort | 3516.3 262 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV019423999 |
| illustrated | Illustrated |
| indexdate | 2024-12-23T17:48:16Z |
| institution | BVB |
| isbn | 1584883588 |
| language | English |
| lccn | 2003066164 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-012885589 |
| oclc_num | 53090964 |
| open_access_boolean | |
| owner | DE-384 DE-355 DE-BY-UBR DE-83 DE-11 |
| owner_facet | DE-384 DE-355 DE-BY-UBR DE-83 DE-11 |
| physical | viii, 304 p. ill. : 25 cm |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Chapman & Hall/CRC |
| record_format | marc |
| series2 | Studies in advanced mathematics |
| spellingShingle | Gilkey, Peter B. 1946- Asymptotic formulae in spectral geometry Equações diferenciais larpcal Geometria riemanniana larpcal Géométrie spectrale Riemann, Variétés de Teoria assintotica (equações diferenciais parciais) larpcal Équations différentielles - Théorie asymptotique Differential equations Asymptotic theory Riemannian manifolds Spectral geometry Spektralgeometrie (DE-588)4128531-1 gnd Riemannscher Raum (DE-588)4128295-4 gnd |
| subject_GND | (DE-588)4128531-1 (DE-588)4128295-4 |
| title | Asymptotic formulae in spectral geometry |
| title_auth | Asymptotic formulae in spectral geometry |
| title_exact_search | Asymptotic formulae in spectral geometry |
| title_full | Asymptotic formulae in spectral geometry Peter B. Gilkey |
| title_fullStr | Asymptotic formulae in spectral geometry Peter B. Gilkey |
| title_full_unstemmed | Asymptotic formulae in spectral geometry Peter B. Gilkey |
| title_short | Asymptotic formulae in spectral geometry |
| title_sort | asymptotic formulae in spectral geometry |
| topic | Equações diferenciais larpcal Geometria riemanniana larpcal Géométrie spectrale Riemann, Variétés de Teoria assintotica (equações diferenciais parciais) larpcal Équations différentielles - Théorie asymptotique Differential equations Asymptotic theory Riemannian manifolds Spectral geometry Spektralgeometrie (DE-588)4128531-1 gnd Riemannscher Raum (DE-588)4128295-4 gnd |
| topic_facet | Equações diferenciais Geometria riemanniana Géométrie spectrale Riemann, Variétés de Teoria assintotica (equações diferenciais parciais) Équations différentielles - Théorie asymptotique Differential equations Asymptotic theory Riemannian manifolds Spectral geometry Spektralgeometrie Riemannscher Raum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012885589&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT gilkeypeterb asymptoticformulaeinspectralgeometry |