Pseudodifferential operators and spectral theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English Russian |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2001
|
| Ausgabe: | 2. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 288 S. |
| ISBN: | 354041195X |
Internformat
MARC
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| 245 | 1 | 0 | |a Pseudodifferential operators and spectral theory |c M. A. Shubin. Transl. from the Russian by Stig I. Andersson |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2001 | |
| 300 | |a XII, 288 S. | ||
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Datensatz im Suchindex
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|---|---|
| adam_text | M. A. SHUBIN PSEUDODIFFERENTIAL OPERATORS AND SPECTRAL THEORY SECOND
EDITION TRANSLATED FROM THE RUSSIAN BY STIG I. ANDERSSON SPRINGER TABLE
OF CONTENTS CHAPTER I. FOUNDATIONS OF *FDO THEORY 1 § 1. OSCILLATORY
INTEGRALS 1 § 2. FOURIER INTEGRAL OPERATORS (PRELIMINARIES) 10 § 3. THE
ALGEBRA OF PSEUDODIFFERENTIAL OPERATORS AND THEIR SYMBOLS . 16 § 4.
CHANGE OF VARIABLES AND PSEUDODIFFERENTIAL OPERATORS ON MANIFOLDS 31 §
5. HYPOELLIPTICITY AND ELLIPTICITY 38 § 6. THEOREMS ON BOUNDEDNESS AND
COMPACTNESS OF PSEUDODIFFERENTIAL OPERATORS 46 § 7. THE SOBOLEV SPACES
52 § 8. THE FREDHOLM PROPERTY, INDEX AND SPECTRUM 65 CHAPTER II. COMPLEX
POWERS OF ELLIPTIC OPERATORS 77 § 9. PSEUDODIFFERENTIAL OPERATORS WITH
PARAMETER. THE RESOLVENT ... 77 §10. DEFINITION AND BASIC PROPERTIES OF
THE COMPLEX POWERS OF AN ELLIPTIC OPERATOR 87 §11. THE STRUCTURE OF THE
COMPLEX POWERS OF AN ELLIPTIC OPERATOR ... 94 §12. ANALYTIC CONTINUATION
OF THE KERNELS OF COMPLEX POWERS . . . . 102 §13. THE F -FUNCTION OF AN
ELLIPTIC OPERATOR AND FORMAL ASYMPTOTIC BEHAVIOUR OF THE SPECTRUM 112
§14. THE TAUBERIAN THEOREM OF IKEHARA 120 § 15. ASYMPTOTIC BEHAVIOUR OF
THE SPECTRAL FUNCTION AND THE EIGENVALUES (ROUGH THEOREM) 128 CHAPTER
III. ASYMPTOTIC BEHAVIOUR OF THE SPECTRAL FUNCTION 133 §16. FORMULATION
OF THE HORMANDER THEOREM AND COMMENTS 133 §17. NON-LINEAR FIRST ORDER
EQUATIONS 134 §18. THE ACTION OF A PSEUDODIFFERENTIAL OPERATOR ON AN
EXPONENT ... 141 § 19. PHASE FUNCTIONS DENNING THE CLASS OF
PSEUDODIFFERENTIAL OPERATORS 147 §20. THE OPERATOR EXP(-IFA) 150 §21.
PRECISE FORMULATION AND PROOF OF THE HORMANDER THEOREM . . . . 156 §22.
THE LAPLACE OPERATOR ON THE SPHERE 164 XII TABLE OF CONTENTS CHAPTER IV.
PSEUDODIFFERENTIAL OPERATORS IN IR 175 §23. AN ALGEBRA OF
PSEUDODIFFERENTIAL OPERATORS IN IR 175 §24. THE ANTI-WICK SYMBOL.
THEOREMS ON BOUNDEDNESS AND COMPACTNESS 186 §25. HYPOELLIPTICITY AND
PARAMETRIX. SOBOLEV SPACES. THE FREDHOLM PROPERTY 193 §26. ESSENTIAL
SELF-ADJOINTNESS. DISCRETENESS OF THE SPECTRUM 197 §27. TRACE AND TRACE
CLASS NORM 202 §28. THE APPROXIMATE SPECTRAL PROJECTION 206 §29.
OPERATORS WITH PARAMETER 215 §30. ASYMPTOTIC BEHAVIOUR OF THE
EIGENVALUES 223 APPENDIX 1. WAVE FRONTS AND PROPAGATION OF SINGULARITIES
229 APPENDIX 2. QUASICLASSICAL ASYMPTOTICS OF EIGENVALUES 240 APPENDIX
3. HILBERT-SCHMIDT AND TRACE CLASS OPERATORS 257 A SHORT GUIDE TO THE
LITERATURE 269 BIBLIOGRAPHY 275 INDEX OF NOTATION 285 SUBJECT INDEX 287
|
| any_adam_object | 1 |
| author | Šubin, Michail A. 1944- |
| author_GND | (DE-588)121177211 |
| author_facet | Šubin, Michail A. 1944- |
| author_role | aut |
| author_sort | Šubin, Michail A. 1944- |
| author_variant | m a š ma maš |
| building | Verbundindex |
| bvnumber | BV013634719 |
| callnumber-first | Q - Science |
| callnumber-label | QA381 |
| callnumber-raw | QA381 |
| callnumber-search | QA381 |
| callnumber-sort | QA 3381 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 600 SK 620 |
| ctrlnum | (OCoLC)248427009 (DE-599)BVBBV013634719 |
| 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 | 2. ed. |
| format | Book |
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| id | DE-604.BV013634719 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:49:20Z |
| institution | BVB |
| isbn | 354041195X |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009315391 |
| oclc_num | 248427009 |
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| owner | DE-703 DE-355 DE-BY-UBR DE-824 DE-11 DE-188 |
| owner_facet | DE-703 DE-355 DE-BY-UBR DE-824 DE-11 DE-188 |
| physical | XII, 288 S. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Springer |
| record_format | marc |
| spelling | Šubin, Michail A. 1944- Verfasser (DE-588)121177211 aut Psevdodifferencial'nye operatory i spektral'naja teorija Pseudodifferential operators and spectral theory M. A. Shubin. Transl. from the Russian by Stig I. Andersson 2. ed. Berlin [u.a.] Springer 2001 XII, 288 S. txt rdacontent n rdamedia nc rdacarrier Pseudodifferentialoperator - Spektraltheorie Pseudodifferential operators Spectral theory (Mathematics) Spektraltheorie (DE-588)4116561-5 gnd rswk-swf Pseudodifferentialoperator (DE-588)4047640-6 gnd rswk-swf Pseudodifferentialoperator (DE-588)4047640-6 s Spektraltheorie (DE-588)4116561-5 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009315391&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Šubin, Michail A. 1944- Pseudodifferential operators and spectral theory Pseudodifferentialoperator - Spektraltheorie Pseudodifferential operators Spectral theory (Mathematics) Spektraltheorie (DE-588)4116561-5 gnd Pseudodifferentialoperator (DE-588)4047640-6 gnd |
| subject_GND | (DE-588)4116561-5 (DE-588)4047640-6 |
| title | Pseudodifferential operators and spectral theory |
| title_alt | Psevdodifferencial'nye operatory i spektral'naja teorija |
| title_auth | Pseudodifferential operators and spectral theory |
| title_exact_search | Pseudodifferential operators and spectral theory |
| title_full | Pseudodifferential operators and spectral theory M. A. Shubin. Transl. from the Russian by Stig I. Andersson |
| title_fullStr | Pseudodifferential operators and spectral theory M. A. Shubin. Transl. from the Russian by Stig I. Andersson |
| title_full_unstemmed | Pseudodifferential operators and spectral theory M. A. Shubin. Transl. from the Russian by Stig I. Andersson |
| title_short | Pseudodifferential operators and spectral theory |
| title_sort | pseudodifferential operators and spectral theory |
| topic | Pseudodifferentialoperator - Spektraltheorie Pseudodifferential operators Spectral theory (Mathematics) Spektraltheorie (DE-588)4116561-5 gnd Pseudodifferentialoperator (DE-588)4047640-6 gnd |
| topic_facet | Pseudodifferentialoperator - Spektraltheorie Pseudodifferential operators Spectral theory (Mathematics) Spektraltheorie Pseudodifferentialoperator |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009315391&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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