Orthogonal Systems and Convolution Operators
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...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Basel
Birkhäuser
2003, 2003
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| Edition: | 1st ed. 2003 |
| Series: | Operator Theory: Advances and Applications
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1 Orthogonal Polynomials and Krein’s Theorem
- 2 Reformulations of Krein’s Theorem
- 3 Inner Products on Modules and Orthogonalization with Invertible Squares
- 4 Orthogonal Matrix Polynomials
- 5 Special Class of Block Toeplitz Matrices
- 6 Orthogonal Operator-Valued Polynomials: First Generalization
- 7 Convolution Equations on a Finite Interval
- 8 Continuous Analogues of Orthogonal Matrix Polynomials
- 9 Orthogonal Operator-Valued Polynomials
- 10 Reverse, Left and Right Orthogonalization
- 11 Discrete Infinite Analogue of Krein’s Theorem
- 12 Continuous Infinite Analogue of Krein’s Theorem
- References
- Index of Symbols