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Hilbert Space, Boundary Value Problems and Orthogonal Polynomials

Hilbert Space, Boundary Value Problems and Orthogonal Polynomials

          
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About the Book

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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Product Details
  • ISBN-13: 9783034894593
  • Publisher: Birkhauser
  • Publisher Imprint: Birkhauser
  • Edition: Softcover reprint of the original 1st ed. 2002
  • Language: English
  • Returnable: N
  • Spine Width: 20 mm
  • Width: 178 mm
  • ISBN-10: 3034894597
  • Publisher Date: 24 Oct 2012
  • Binding: Paperback
  • Height: 254 mm
  • No of Pages: 354
  • Series Title: Operator Theory: Advances and Applications
  • Weight: 643 gr


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