| Hilbert Space, Boundary Value Problems and Orthogonal Polynomials Softcover Repri Edition Contributor(s): Krall, Allan M. (Author) |
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ISBN: 3034894597 ISBN-13: 9783034894593 Publisher: Birkhauser OUR PRICE: $85.49 Product Type: Paperback - Other Formats Published: October 2012 |
| Additional Information |
| BISAC Categories: - Mathematics | Transformations - Medical - Mathematics | Differential Equations - General |
| Dewey: 515.733 |
| Series: Operator Theory: Advances and Applications |
| Physical Information: 0.77" H x 7" W x 10" (1.42 lbs) 354 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |