Książka Orthogonal Systems and Convolution Operators Robert L. Ellis

Orthogonal Systems and Convolution Operators

Język: Angielski
Oprawa: Miękka
Wydawca: Springer Basel
Dostępność: Dostępna u dostawcy w małych ilościach
Wysyłamy za 13-18 dni
241.03
In this book we study orthogonal polynomials and their generalizations in spaces with weighted inner...

Informacje o książce

Język
Angielski
Oprawa
Książka - Miękka
Data wydania
2002
strony
238
EAN
9783034894180
ISBN
303489418X
Enbook ID
02717419
Wydawca
Waga
397
Wymiary
155 x 235 x 15

Pełny opis

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.

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