Operator Theory: Advances and Applications

Orthogonal Systems and Convolution Operators

Authors: Ellis, Robert L., Gohberg, Israel

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About this book

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.

Table of contents (12 chapters)

Table of contents (12 chapters)

Buy this book

eBook $74.99
price for USA in USD
  • ISBN 978-3-0348-8045-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase Institutional customers should get in touch with their account manager
Softcover $99.00
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Orthogonal Systems and Convolution Operators
Authors
Series Title
Operator Theory: Advances and Applications
Series Volume
140
Copyright
2003
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel AG
eBook ISBN
978-3-0348-8045-9
DOI
10.1007/978-3-0348-8045-9
Softcover ISBN
978-3-0348-9418-0
Series ISSN
0255-0156
Edition Number
1
Number of Pages
XVI, 238
Topics