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...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [England] ; New York :
Cambridge University Press,
1995.
|
| Schriftenreihe: | London Mathematical Society lecture note series ;
202. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (xii, 382 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 370-379) and index. |
| ISBN: | 9781107361584 1107361583 |
Internformat
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| 245 | 1 | 4 | |a The technique of pseudodifferential operators / |c H.O. Cordes. |
| 260 | |a Cambridge [England] ; |a New York : |b Cambridge University Press, |c 1995. | ||
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| 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. | ||
| 650 | 0 | |a Pseudodifferential operators. |0 http://id.loc.gov/authorities/subjects/sh85108264 | |
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| illustrated | Illustrated |
| indexdate | 2024-11-27T13:25:17Z |
| institution | BVB |
| isbn | 9781107361584 1107361583 |
| language | English |
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| physical | 1 online resource (xii, 382 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 1995 |
| publishDateSearch | 1995 |
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| publisher | Cambridge University Press, |
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| series | London Mathematical Society lecture note series ; |
| series2 | London Mathematical Society lecture note series ; |
| spelling | Cordes, H. O. (Heinz Otto), 1925- https://id.oclc.org/worldcat/entity/E39PBJmP6hF6w9rhkCCkmRw6Kd http://id.loc.gov/authorities/names/n79116348 The technique of pseudodifferential operators / H.O. Cordes. Cambridge [England] ; New York : Cambridge University Press, 1995. 1 online resource (xii, 382 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society lecture note series ; 202 Includes bibliographical references (pages 370-379) and index. Print version record. 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. Pseudodifferential operators. http://id.loc.gov/authorities/subjects/sh85108264 Opérateurs pseudo-différentiels. MATHEMATICS Functional Analysis. bisacsh Pseudodifferential operators fast Differentiaaloperatoren. gtt Opérateurs pseudo-différentiels. ram Print version: Cordes, H.O. (Heinz Otto), 1925- Technique of pseudodifferential operators. Cambridge [England] ; New York : Cambridge University Press, 1995 0521378648 (DLC) 94023462 (OCoLC)31045435 London Mathematical Society lecture note series ; 202. 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=552519 Volltext |
| spellingShingle | Cordes, H. O. (Heinz Otto), 1925- The technique of pseudodifferential operators / London Mathematical Society lecture note series ; Pseudodifferential operators. http://id.loc.gov/authorities/subjects/sh85108264 Opérateurs pseudo-différentiels. MATHEMATICS Functional Analysis. bisacsh Pseudodifferential operators fast Differentiaaloperatoren. gtt Opérateurs pseudo-différentiels. ram |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85108264 |
| 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 |
| topic | Pseudodifferential operators. http://id.loc.gov/authorities/subjects/sh85108264 Opérateurs pseudo-différentiels. MATHEMATICS Functional Analysis. bisacsh Pseudodifferential operators fast Differentiaaloperatoren. gtt Opérateurs pseudo-différentiels. ram |
| topic_facet | Pseudodifferential operators. Opérateurs pseudo-différentiels. MATHEMATICS Functional Analysis. Pseudodifferential operators Differentiaaloperatoren. |
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