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Orthogonal Systems and Convolution Operators (Hardcover)
Loot Price: R2,570
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Orthogonal Systems and Convolution Operators (Hardcover)
Series: Operator Theory: Advances and Applications, v. 140
Expected to ship within 12 - 17 working days
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The main concern of this book is the distribution of zeros of
polynomials that are orthogonal on the unit circle with respect to
an indefinite weighted scalar or inner product. The first theorem
of this type, proved by M. G. Krein, was a far-reaching
generalization of G. Szeg 's result for the positive definite case.
A continuous analogue of that theorem was proved by Krein and H.
Langer. These results, as well as many generalizations and
extensions, are thoroughly treated in this book. A unifying theme
is the general problem of orthogonalization with invertible squares
in modules over C*-algebras. Particular modules that are considered
in detail include modules of matrices, matrix polynomials,
matrix-valued functions, linear operators, and others. One of the
central features of this book is the interplay between orthogonal
polynomials and their generalizations on the one hand, and operator
theory, especially the theory of Toeplitz marices and operators,
and Fredholm and Wiener-Hopf operators, on the other hand. The book
is of interest to both engineers and specialists in analysis.
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