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Hilbert Space, Boundary Value Problems and Orthogonal Polynomials (Paperback, Softcover reprint of the original 1st ed. 2002)
Loot Price: R2,431
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Hilbert Space, Boundary Value Problems and Orthogonal Polynomials (Paperback, Softcover reprint of the original 1st ed. 2002)
Series: Operator Theory: Advances and Applications, 133
Expected to ship within 10 - 15 working days
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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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