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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Hilbert Space, Boundary Value Problems and Orthogonal Polynomials

Hilbert Space, Boundary Value Problems and Orthogonal Polynomials

Krall, Allan M.

Paperback

Series: Operator Theory: Advances and Applications, Book 133

Medical ReferenceGeneral Mathematics

ISBN10: 3034894597
ISBN13: 9783034894593
Publisher: Springer Nature
Published: Oct 24 2012
Pages: 354
Weight: 1.42
Height: 0.77 Width: 7.00 Depth: 10.00
Language: English
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.

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