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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| Main Author: | |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
1995
|
| Series: | London Mathematical Society lecture note series
202 |
| Links: | https://doi.org/10.1017/CBO9780511569425 |
| Summary: | 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. |
| Physical Description: | 1 Online-Ressource (xii, 382 Seiten) |
| ISBN: | 9780511569425 |
Staff View
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| 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 |
| 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 |
| work_keys_str_mv | AT cordesho thetechniqueofpseudodifferentialoperators AT cordesho techniqueofpseudodifferentialoperators |