Hilbert Space, Boundary Value Problems and Orthogonal Polynomials:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser Basel
2002
|
| Schriftenreihe: | Operator Theory: Advances and Applications
133 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The following tract is divided into three parts: Hilbert spaces and their (bounded and unbounded) self-adjoint operators, linear Hamiltonian systemsand their scalar counterparts and their application to orthogonal polynomials. In a sense, this is an updating of E. C. Titchmarsh's classic Eigenfunction Expansions. My interest in these areas began in 1960-61, when, as a graduate student, I was introduced by my advisors E. J. McShane and Marvin Rosenblum to the ideas of Hilbert space. The next year I was given a problem by Marvin Rosenblum that involved a differential operator with an "integral" boundary condition. That same year I attended a class given by the Physics Department in which the lecturer discussed the theory of Schwarz distributions and Titchmarsh's theory of singular Sturm-Liouville boundary value problems. I think a Professor Smith was the in structor, but memory fails. Nonetheless, I am deeply indebted to him, because, as we shall see, these topics are fundamental to what follows. I am also deeply indebted to others. First F. V. Atkinson stands as a giant in the field. W. N. Everitt does likewise. These two were very encouraging to me during my younger (and later) years. They did things "right." It was a revelation to read the book and papers by Professor Atkinson and the many fine fundamen tal papers by Professor Everitt. They are held in highest esteem, and are given profound thanks |
| Beschreibung: | 1 Online-Ressource (XIV, 354 p) |
| ISBN: | 9783034881555 9783034894593 |
| DOI: | 10.1007/978-3-0348-8155-5 |
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Datensatz im Suchindex
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| any_adam_object | |
| author | Krall, Allan M. |
| author_facet | Krall, Allan M. |
| author_role | aut |
| author_sort | Krall, Allan M. |
| author_variant | a m k am amk |
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| discipline | Mathematik |
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| id | DE-604.BV042422047 |
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| indexdate | 2024-07-10T01:21:10Z |
| institution | BVB |
| isbn | 9783034881555 9783034894593 |
| language | English |
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| spelling | Krall, Allan M. Verfasser aut Hilbert Space, Boundary Value Problems and Orthogonal Polynomials by Allan M. Krall Basel Birkhäuser Basel 2002 1 Online-Ressource (XIV, 354 p) txt rdacontent c rdamedia cr rdacarrier Operator Theory: Advances and Applications 133 The following tract is divided into three parts: Hilbert spaces and their (bounded and unbounded) self-adjoint operators, linear Hamiltonian systemsand their scalar counterparts and their application to orthogonal polynomials. In a sense, this is an updating of E. C. Titchmarsh's classic Eigenfunction Expansions. My interest in these areas began in 1960-61, when, as a graduate student, I was introduced by my advisors E. J. McShane and Marvin Rosenblum to the ideas of Hilbert space. The next year I was given a problem by Marvin Rosenblum that involved a differential operator with an "integral" boundary condition. That same year I attended a class given by the Physics Department in which the lecturer discussed the theory of Schwarz distributions and Titchmarsh's theory of singular Sturm-Liouville boundary value problems. I think a Professor Smith was the in structor, but memory fails. Nonetheless, I am deeply indebted to him, because, as we shall see, these topics are fundamental to what follows. I am also deeply indebted to others. First F. V. Atkinson stands as a giant in the field. W. N. Everitt does likewise. These two were very encouraging to me during my younger (and later) years. They did things "right." It was a revelation to read the book and papers by Professor Atkinson and the many fine fundamen tal papers by Professor Everitt. They are held in highest esteem, and are given profound thanks Mathematics Mathematics, general Mathematik Hamiltonsches System (DE-588)4139943-2 gnd rswk-swf Hilbert-Raum (DE-588)4159850-7 gnd rswk-swf Linearer Operator (DE-588)4167721-3 gnd rswk-swf Orthogonale Polynome (DE-588)4172863-4 gnd rswk-swf Randwertproblem (DE-588)4048395-2 gnd rswk-swf Hilbert-Raum (DE-588)4159850-7 s Linearer Operator (DE-588)4167721-3 s 1\p DE-604 Hamiltonsches System (DE-588)4139943-2 s Randwertproblem (DE-588)4048395-2 s 2\p DE-604 Orthogonale Polynome (DE-588)4172863-4 s 3\p DE-604 https://doi.org/10.1007/978-3-0348-8155-5 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Krall, Allan M. Hilbert Space, Boundary Value Problems and Orthogonal Polynomials Mathematics Mathematics, general Mathematik Hamiltonsches System (DE-588)4139943-2 gnd Hilbert-Raum (DE-588)4159850-7 gnd Linearer Operator (DE-588)4167721-3 gnd Orthogonale Polynome (DE-588)4172863-4 gnd Randwertproblem (DE-588)4048395-2 gnd |
| subject_GND | (DE-588)4139943-2 (DE-588)4159850-7 (DE-588)4167721-3 (DE-588)4172863-4 (DE-588)4048395-2 |
| title | Hilbert Space, Boundary Value Problems and Orthogonal Polynomials |
| title_auth | Hilbert Space, Boundary Value Problems and Orthogonal Polynomials |
| title_exact_search | Hilbert Space, Boundary Value Problems and Orthogonal Polynomials |
| title_full | Hilbert Space, Boundary Value Problems and Orthogonal Polynomials by Allan M. Krall |
| title_fullStr | Hilbert Space, Boundary Value Problems and Orthogonal Polynomials by Allan M. Krall |
| title_full_unstemmed | Hilbert Space, Boundary Value Problems and Orthogonal Polynomials by Allan M. Krall |
| title_short | Hilbert Space, Boundary Value Problems and Orthogonal Polynomials |
| title_sort | hilbert space boundary value problems and orthogonal polynomials |
| topic | Mathematics Mathematics, general Mathematik Hamiltonsches System (DE-588)4139943-2 gnd Hilbert-Raum (DE-588)4159850-7 gnd Linearer Operator (DE-588)4167721-3 gnd Orthogonale Polynome (DE-588)4172863-4 gnd Randwertproblem (DE-588)4048395-2 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Hamiltonsches System Hilbert-Raum Linearer Operator Orthogonale Polynome Randwertproblem |
| url | https://doi.org/10.1007/978-3-0348-8155-5 |
| work_keys_str_mv | AT krallallanm hilbertspaceboundaryvalueproblemsandorthogonalpolynomials |