| 书目名称 | Hilbert Space, Boundary Value Problems and Orthogonal Polynomials | | 编辑 | Allan M. Krall | | 视频video | | | 丛书名称 | Operator Theory: Advances and Applications | | 图书封面 |  | | 描述 | 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) ye | | 出版日期 | Book 2002 | | 关键词 | Boundary value problem; Differential equations; Hilbert space; differential equation; orthogonal polynom | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-0348-8155-5 | | isbn_softcover | 978-3-0348-9459-3 | | isbn_ebook | 978-3-0348-8155-5Series ISSN 0255-0156 Series E-ISSN 2296-4878 | | issn_series | 0255-0156 | | copyright | Springer Basel AG 2002 |
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发表于 2025-3-21 18:57:20
