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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 e...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York, NY :
Cambridge University Press,
©1994.
|
| Colección: | London Mathematical Society lecture note series ;
196. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Grigis, Alain. | |
| 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. | ||
| 300 | |a 1 online resource (151 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 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. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Differential operators. | |
| 650 | 0 | |a Microlocal analysis. | |
| 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 | |
| 650 | 7 | |a Fourier-Integraloperator |2 gnd | |
| 650 | 7 | |a Symplektische Geometrie |2 gnd | |
| 650 | 1 | 7 | |a Lokale analyse (wiskunde) |2 gtt |
| 650 | 7 | |a Opérateurs différentiels. |2 ram | |
| 650 | 7 | |a Analyse microlocale. |2 ram | |
| 700 | 1 | |a Sjöstrand, J. |q (Johannes) | |
| 776 | 0 | 8 | |i Print version: |a Grigis, Alain. |t Microlocal analysis for differential operators. |d Cambridge ; New York, NY : Cambridge University Press, ©1994 |z 0521449863 |w (DLC) 94122496 |w (OCoLC)30012038 |
| 830 | 0 | |a London Mathematical Society lecture note series ; |v 196. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=569305 |z Texto completo |
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