Microlocal analysis for differential operators :: an introduction /
This short introduction to microlocal analysis is presented, in the spirit of Hörmander, in the classical framework of partial differential equations. This theory has important applications in areas such as harmonic and complex analysis, and also in theoretical physics. Here Grigis and Sjöstrand emp...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York, NY :
Cambridge University Press,
©1994.
|
| Schriftenreihe: | London Mathematical Society lecture note series ;
196. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This short introduction to microlocal analysis is presented, in the spirit of Hörmander, in the classical framework of partial differential equations. This theory has important applications in areas such as harmonic and complex analysis, and also in theoretical physics. Here Grigis and Sjöstrand emphasise the basic tools, especially the method of stationary phase, and they discuss wavefront sets, elliptic operators, local symplectic geometry, and WKB-constructions. The contents of the book correspond to a graduate course given many times by the authors. It should prove to be useful to mathematicians and theoretical physicists, either to enrich their general knowledge of this area, or as preparation for the current research literature. |
| Beschreibung: | 1 online resource (151 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 145-148) and indexes. |
| ISBN: | 9781107088566 1107088569 9780511721441 0511721447 1139884921 9781139884921 1107100518 9781107100510 1107102995 9781107102996 1107094747 9781107094741 1107091497 9781107091498 |
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| 245 | 1 | 0 | |a Microlocal analysis for differential operators : |b an introduction / |c Alain Grigis, Johannes Sjöstrand. |
| 260 | |a Cambridge ; |a New York, NY : |b Cambridge University Press, |c ©1994. | ||
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| 490 | 1 | |a London Mathematical Society lecture note series ; |v 196 | |
| 504 | |a Includes bibliographical references (pages 145-148) and indexes. | ||
| 505 | 0 | |a 1. Symbols and oscillatory integrals -- 2. The method of stationary phase -- 3. Pseudodifferential operators -- 4. Application to elliptic operators and L[superscript 2] continuity -- 5. Local symplectic geometry I (Hamilton-Jacobi theory) -- 6. The strictly hyperbolic Cauchy problem construction of a parametrix -- 7. The wavefront set (singular spectrum) of a distribution -- 8. Propagation of singularities for operators of real principle type -- 9. Local symplectic geometry II -- 10. Canonical transformations of pseudodifferential operators -- 11. Global theory of Fourier integral operators -- 12. Spectral theory for elliptic operators. | |
| 588 | 0 | |a Print version record. | |
| 520 | |a This short introduction to microlocal analysis is presented, in the spirit of Hörmander, in the classical framework of partial differential equations. This theory has important applications in areas such as harmonic and complex analysis, and also in theoretical physics. Here Grigis and Sjöstrand emphasise the basic tools, especially the method of stationary phase, and they discuss wavefront sets, elliptic operators, local symplectic geometry, and WKB-constructions. The contents of the book correspond to a graduate course given many times by the authors. It should prove to be useful to mathematicians and theoretical physicists, either to enrich their general knowledge of this area, or as preparation for the current research literature. | ||
| 650 | 0 | |a Differential operators. |0 http://id.loc.gov/authorities/subjects/sh85037921 | |
| 650 | 0 | |a Microlocal analysis. |0 http://id.loc.gov/authorities/subjects/sh92003594 | |
| 650 | 6 | |a Opérateurs différentiels. | |
| 650 | 6 | |a Analyse microlocale. | |
| 650 | 7 | |a MATHEMATICS |x Functional Analysis. |2 bisacsh | |
| 650 | 7 | |a Differential operators |2 fast | |
| 650 | 7 | |a Microlocal analysis |2 fast | |
| 650 | 7 | |a Pseudodifferentialoperator |2 gnd |0 http://d-nb.info/gnd/4047640-6 | |
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| 650 | 7 | |a Symplektische Geometrie |2 gnd |0 http://d-nb.info/gnd/4194232-2 | |
| 650 | 1 | 7 | |a Lokale analyse (wiskunde) |2 gtt |
| 650 | 7 | |a Opérateurs différentiels. |2 ram | |
| 650 | 7 | |a Analyse microlocale. |2 ram | |
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| adam_text | |
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| author | Grigis, Alain |
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| contents | 1. Symbols and oscillatory integrals -- 2. The method of stationary phase -- 3. Pseudodifferential operators -- 4. Application to elliptic operators and L[superscript 2] continuity -- 5. Local symplectic geometry I (Hamilton-Jacobi theory) -- 6. The strictly hyperbolic Cauchy problem construction of a parametrix -- 7. The wavefront set (singular spectrum) of a distribution -- 8. Propagation of singularities for operators of real principle type -- 9. Local symplectic geometry II -- 10. Canonical transformations of pseudodifferential operators -- 11. Global theory of Fourier integral operators -- 12. Spectral theory for elliptic operators. |
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| discipline | Mathematik |
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| id | ZDB-4-EBA-ocn852896200 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:25:26Z |
| institution | BVB |
| isbn | 9781107088566 1107088569 9780511721441 0511721447 1139884921 9781139884921 1107100518 9781107100510 1107102995 9781107102996 1107094747 9781107094741 1107091497 9781107091498 |
| language | English |
| oclc_num | 852896200 |
| open_access_boolean | |
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| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (151 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Cambridge University Press, |
| record_format | marc |
| series | London Mathematical Society lecture note series ; |
| series2 | London Mathematical Society lecture note series ; |
| spelling | Grigis, Alain. Microlocal analysis for differential operators : an introduction / Alain Grigis, Johannes Sjöstrand. Cambridge ; New York, NY : Cambridge University Press, ©1994. 1 online resource (151 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society lecture note series ; 196 Includes bibliographical references (pages 145-148) and indexes. 1. Symbols and oscillatory integrals -- 2. The method of stationary phase -- 3. Pseudodifferential operators -- 4. Application to elliptic operators and L[superscript 2] continuity -- 5. Local symplectic geometry I (Hamilton-Jacobi theory) -- 6. The strictly hyperbolic Cauchy problem construction of a parametrix -- 7. The wavefront set (singular spectrum) of a distribution -- 8. Propagation of singularities for operators of real principle type -- 9. Local symplectic geometry II -- 10. Canonical transformations of pseudodifferential operators -- 11. Global theory of Fourier integral operators -- 12. Spectral theory for elliptic operators. Print version record. This short introduction to microlocal analysis is presented, in the spirit of Hörmander, in the classical framework of partial differential equations. This theory has important applications in areas such as harmonic and complex analysis, and also in theoretical physics. Here Grigis and Sjöstrand emphasise the basic tools, especially the method of stationary phase, and they discuss wavefront sets, elliptic operators, local symplectic geometry, and WKB-constructions. The contents of the book correspond to a graduate course given many times by the authors. It should prove to be useful to mathematicians and theoretical physicists, either to enrich their general knowledge of this area, or as preparation for the current research literature. Differential operators. http://id.loc.gov/authorities/subjects/sh85037921 Microlocal analysis. http://id.loc.gov/authorities/subjects/sh92003594 Opérateurs différentiels. Analyse microlocale. MATHEMATICS Functional Analysis. bisacsh Differential operators fast Microlocal analysis fast Pseudodifferentialoperator gnd http://d-nb.info/gnd/4047640-6 Fourier-Integraloperator gnd http://d-nb.info/gnd/4155104-7 Symplektische Geometrie gnd http://d-nb.info/gnd/4194232-2 Lokale analyse (wiskunde) gtt Opérateurs différentiels. ram Analyse microlocale. ram Sjöstrand, J. (Johannes) https://id.oclc.org/worldcat/entity/E39PBJwD4M6hYCb9Dbh8jjdbBP http://id.loc.gov/authorities/names/n88630485 Print version: Grigis, Alain. Microlocal analysis for differential operators. Cambridge ; New York, NY : Cambridge University Press, ©1994 0521449863 (DLC) 94122496 (OCoLC)30012038 London Mathematical Society lecture note series ; 196. http://id.loc.gov/authorities/names/n42015587 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=569305 Volltext |
| spellingShingle | Grigis, Alain Microlocal analysis for differential operators : an introduction / London Mathematical Society lecture note series ; 1. Symbols and oscillatory integrals -- 2. The method of stationary phase -- 3. Pseudodifferential operators -- 4. Application to elliptic operators and L[superscript 2] continuity -- 5. Local symplectic geometry I (Hamilton-Jacobi theory) -- 6. The strictly hyperbolic Cauchy problem construction of a parametrix -- 7. The wavefront set (singular spectrum) of a distribution -- 8. Propagation of singularities for operators of real principle type -- 9. Local symplectic geometry II -- 10. Canonical transformations of pseudodifferential operators -- 11. Global theory of Fourier integral operators -- 12. Spectral theory for elliptic operators. Differential operators. http://id.loc.gov/authorities/subjects/sh85037921 Microlocal analysis. http://id.loc.gov/authorities/subjects/sh92003594 Opérateurs différentiels. Analyse microlocale. MATHEMATICS Functional Analysis. bisacsh Differential operators fast Microlocal analysis fast Pseudodifferentialoperator gnd http://d-nb.info/gnd/4047640-6 Fourier-Integraloperator gnd http://d-nb.info/gnd/4155104-7 Symplektische Geometrie gnd http://d-nb.info/gnd/4194232-2 Lokale analyse (wiskunde) gtt Opérateurs différentiels. ram Analyse microlocale. ram |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85037921 http://id.loc.gov/authorities/subjects/sh92003594 http://d-nb.info/gnd/4047640-6 http://d-nb.info/gnd/4155104-7 http://d-nb.info/gnd/4194232-2 |
| title | Microlocal analysis for differential operators : an introduction / |
| title_auth | Microlocal analysis for differential operators : an introduction / |
| title_exact_search | Microlocal analysis for differential operators : an introduction / |
| title_full | Microlocal analysis for differential operators : an introduction / Alain Grigis, Johannes Sjöstrand. |
| title_fullStr | Microlocal analysis for differential operators : an introduction / Alain Grigis, Johannes Sjöstrand. |
| title_full_unstemmed | Microlocal analysis for differential operators : an introduction / Alain Grigis, Johannes Sjöstrand. |
| title_short | Microlocal analysis for differential operators : |
| title_sort | microlocal analysis for differential operators an introduction |
| title_sub | an introduction / |
| topic | Differential operators. http://id.loc.gov/authorities/subjects/sh85037921 Microlocal analysis. http://id.loc.gov/authorities/subjects/sh92003594 Opérateurs différentiels. Analyse microlocale. MATHEMATICS Functional Analysis. bisacsh Differential operators fast Microlocal analysis fast Pseudodifferentialoperator gnd http://d-nb.info/gnd/4047640-6 Fourier-Integraloperator gnd http://d-nb.info/gnd/4155104-7 Symplektische Geometrie gnd http://d-nb.info/gnd/4194232-2 Lokale analyse (wiskunde) gtt Opérateurs différentiels. ram Analyse microlocale. ram |
| topic_facet | Differential operators. Microlocal analysis. Opérateurs différentiels. Analyse microlocale. MATHEMATICS Functional Analysis. Differential operators Microlocal analysis Pseudodifferentialoperator Fourier-Integraloperator Symplektische Geometrie Lokale analyse (wiskunde) |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=569305 |
| work_keys_str_mv | AT grigisalain microlocalanalysisfordifferentialoperatorsanintroduction AT sjostrandj microlocalanalysisfordifferentialoperatorsanintroduction |