Spectral Theory and Wave Processes:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Springer US
1967
|
| Schriftenreihe: | Topics in Mathematical Physics
1 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The articles in this collection are devoted to various problems in mathematical physics and mathematical analysis, primarily in the fields of spectral theory and the theory of wave processes. The collection is intended for mathematicians sPf>cializing in the fields of mathematical physics, functional analysis, and the theory of differential equations. In addition, it is of some interest to theoretical physicists. The first paper deals with a mixed boundary value problem for a system of elasticity equations, and considers fields in the neighborhood of various wave fronts. The method used permits an estimate of the errors in the Ben-Menahem approximate method. Paper 2 investigates operators in separable Hilbert space given by double integrals of a type defined at the beginning of the paper, and in which integration is understood as the limit of the integral sums of Riemann-stieltjes. In paper 3, the problem of calculation of elastic constants for a laminarly inhomogeneous semi-infinite medium is conSidered, and the uniqueness of the solution of the inverse seismic problem at finite depth proved. The fourth paper gives a detailed account of the results of an earlier paper by the same author, in which he generalized to the three-dimensional case the trace formulas obtained for the one-dimensional Schroedinger operator. Asymptotic estimates of the resolvent kernel and solutions of the scattering problem are given |
| Beschreibung: | 1 Online-Ressource (VIII, 114 p) |
| ISBN: | 9781468475951 9781468475975 |
| DOI: | 10.1007/978-1-4684-7595-1 |
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Datensatz im Suchindex
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| discipline | Physik |
| doi_str_mv | 10.1007/978-1-4684-7595-1 |
| format | Electronic eBook |
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| id | DE-604.BV042412136 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:20:49Z |
| institution | BVB |
| isbn | 9781468475951 9781468475975 |
| language | English |
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| physical | 1 Online-Ressource (VIII, 114 p) |
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| spelling | Birman, M. Sh Verfasser aut Spectral Theory and Wave Processes edited by M. Sh. Birman Boston, MA Springer US 1967 1 Online-Ressource (VIII, 114 p) txt rdacontent c rdamedia cr rdacarrier Topics in Mathematical Physics 1 The articles in this collection are devoted to various problems in mathematical physics and mathematical analysis, primarily in the fields of spectral theory and the theory of wave processes. The collection is intended for mathematicians sPf>cializing in the fields of mathematical physics, functional analysis, and the theory of differential equations. In addition, it is of some interest to theoretical physicists. The first paper deals with a mixed boundary value problem for a system of elasticity equations, and considers fields in the neighborhood of various wave fronts. The method used permits an estimate of the errors in the Ben-Menahem approximate method. Paper 2 investigates operators in separable Hilbert space given by double integrals of a type defined at the beginning of the paper, and in which integration is understood as the limit of the integral sums of Riemann-stieltjes. In paper 3, the problem of calculation of elastic constants for a laminarly inhomogeneous semi-infinite medium is conSidered, and the uniqueness of the solution of the inverse seismic problem at finite depth proved. The fourth paper gives a detailed account of the results of an earlier paper by the same author, in which he generalized to the three-dimensional case the trace formulas obtained for the one-dimensional Schroedinger operator. Asymptotic estimates of the resolvent kernel and solutions of the scattering problem are given Physics Theoretical, Mathematical and Computational Physics Spektraltheorie (DE-588)4116561-5 gnd rswk-swf Wellenausbreitung (DE-588)4121912-0 gnd rswk-swf Spektraltheorie (DE-588)4116561-5 s Wellenausbreitung (DE-588)4121912-0 s 1\p DE-604 https://doi.org/10.1007/978-1-4684-7595-1 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Birman, M. Sh Spectral Theory and Wave Processes Physics Theoretical, Mathematical and Computational Physics Spektraltheorie (DE-588)4116561-5 gnd Wellenausbreitung (DE-588)4121912-0 gnd |
| subject_GND | (DE-588)4116561-5 (DE-588)4121912-0 |
| title | Spectral Theory and Wave Processes |
| title_auth | Spectral Theory and Wave Processes |
| title_exact_search | Spectral Theory and Wave Processes |
| title_full | Spectral Theory and Wave Processes edited by M. Sh. Birman |
| title_fullStr | Spectral Theory and Wave Processes edited by M. Sh. Birman |
| title_full_unstemmed | Spectral Theory and Wave Processes edited by M. Sh. Birman |
| title_short | Spectral Theory and Wave Processes |
| title_sort | spectral theory and wave processes |
| topic | Physics Theoretical, Mathematical and Computational Physics Spektraltheorie (DE-588)4116561-5 gnd Wellenausbreitung (DE-588)4121912-0 gnd |
| topic_facet | Physics Theoretical, Mathematical and Computational Physics Spektraltheorie Wellenausbreitung |
| url | https://doi.org/10.1007/978-1-4684-7595-1 |
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