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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
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Orthogonal Systems and Convolution Operators (Paperback, Softcover reprint of the original 1st ed. 2003)
Loot Price: R1,483
Discovery Miles 14 830
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Orthogonal Systems and Convolution Operators (Paperback, Softcover reprint of the original 1st ed. 2003)
Series: Operator Theory: Advances and Applications, 140
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In this book we study orthogonal polynomials and their
generalizations in spaces with weighted inner products. The impetus
for our research was a deep theorem due to M.G. Krein along with
subsequent results of Krein and H. Langer. Together with our
colleagues, we have worked in this area for nearly fifteen years,
and the results of our research are presented here in unified form.
We are grateful to the Department of mathematics at the University
of Maryland in College Park and to Tel-Aviv University for their
support and encouragement. The support of the Silver Family
Foundation is also highly appreciated. Introduction The starting
point ofthis book is a study ofthe orthogonal polynomials {qn In ?:
O} obtained by orthogonalizing the power functions I, Z, z2, ... on
the unit circle. The orthogonality is with respect to the scalar
product defined by where the weight w is a positive integrable
function on the unit circle. These ortho gonal polynomials are
called the Szego polynomials associated with the weight w."
General
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