Orthogonal Systems and Convolution Operators

Israel Gohberg

ISBN 10: 303489418X / ISBN 13: 9783034894180

Verlag: Birkhäuser Basel, Springer Basel Okt 2012, 2012

Beschreibung

This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 256 pp. Englisch.

Bestandsnummer des Verkäufers 9783034894180

Bibliografische Details

• Titel: Orthogonal Systems and Convolution Operators
• Verlag: Birkhäuser Basel, Springer Basel Okt 2012
• Erscheinungsjahr: 2012
• Sprache: Englisch
• ISBN-10: 303489418X
• ISBN-13: 9783034894180
• Einband: Taschenbuch
• Zustand: Neu
• Abmessungen: 235B x 155 H x 15 T Millimeter Breite: 235 mm, Höhe: 155 mm, Tiefe: 15 mm
• Gewicht: 394 Gramm

Über diesen Titel

Inhaltsangabe

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.