The technique of pseudodifferential operators
Pseudodifferential operators arise naturally in the solution of boundary problems for partial differential equations. The formalism of these operators serves to make the Fourier-Laplace method applicable for nonconstant coefficient equations. This book presents the technique of pseudodifferential op...
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| Format: | E-Book |
| Sprache: | English |
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Cambridge
Cambridge University Press
1995
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| Schriftenreihe: | London Mathematical Society lecture note series
202 |
| Online-Zugang: | Volltext |
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| 100 | 1 | |a Cordes, H. O. |d 1925- | |
| 245 | 1 | 4 | |a The technique of pseudodifferential operators |c H.O. Cordes |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 1995 | |
| 300 | |a 1 Online-Ressource (xii, 382 Seiten) | ||
| 336 | |b txt | ||
| 337 | |b c | ||
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| 490 | 1 | |a London Mathematical Society lecture note series |v 202 | |
| 520 | |a Pseudodifferential operators arise naturally in the solution of boundary problems for partial differential equations. The formalism of these operators serves to make the Fourier-Laplace method applicable for nonconstant coefficient equations. This book presents the technique of pseudodifferential operators and its applications, especially to the Dirac theory of quantum mechanics. The treatment uses 'Leibniz formulas' with integral remainders or as asymptotic series. A pseudodifferential operator may also be described by invariance under action of a Lie-group. The author discusses connections to the theory of C*-algebras, invariant algebras of pseudodifferential operators under hyperbolic evolution and the relation of the hyperbolic theory to the propagation of maximal ideals. This book will be of particular interest to researchers in partial differential equations and mathematical physics. | ||
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| id | ZDB-20-CTM-CR9780511569425 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-18T12:04:31Z |
| institution | BVB |
| isbn | 9780511569425 |
| language | English |
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| publisher | Cambridge University Press |
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| series2 | London Mathematical Society lecture note series |
| spelling | Cordes, H. O. 1925- The technique of pseudodifferential operators H.O. Cordes Cambridge Cambridge University Press 1995 1 Online-Ressource (xii, 382 Seiten) txt c cr London Mathematical Society lecture note series 202 Pseudodifferential operators arise naturally in the solution of boundary problems for partial differential equations. The formalism of these operators serves to make the Fourier-Laplace method applicable for nonconstant coefficient equations. This book presents the technique of pseudodifferential operators and its applications, especially to the Dirac theory of quantum mechanics. The treatment uses 'Leibniz formulas' with integral remainders or as asymptotic series. A pseudodifferential operator may also be described by invariance under action of a Lie-group. The author discusses connections to the theory of C*-algebras, invariant algebras of pseudodifferential operators under hyperbolic evolution and the relation of the hyperbolic theory to the propagation of maximal ideals. This book will be of particular interest to researchers in partial differential equations and mathematical physics. Erscheint auch als Druck-Ausgabe 9780521378642 TUM01 ZDB-20-CTM TUM_PDA_CTM https://doi.org/10.1017/CBO9780511569425 Volltext |
| spellingShingle | Cordes, H. O. 1925- The technique of pseudodifferential operators |
| title | The technique of pseudodifferential operators |
| title_auth | The technique of pseudodifferential operators |
| title_exact_search | The technique of pseudodifferential operators |
| title_full | The technique of pseudodifferential operators H.O. Cordes |
| title_fullStr | The technique of pseudodifferential operators H.O. Cordes |
| title_full_unstemmed | The technique of pseudodifferential operators H.O. Cordes |
| title_short | The technique of pseudodifferential operators |
| title_sort | technique of pseudodifferential operators |
| url | https://doi.org/10.1017/CBO9780511569425 |
| work_keys_str_mv | AT cordesho thetechniqueofpseudodifferentialoperators AT cordesho techniqueofpseudodifferentialoperators |