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Item Details
| Title:
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SCHUR FUNCTIONS, OPERATOR COLLIGATIONS AND REPRODUCING KERNEL PONTRYAGIN SPACES
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| By: |
Daniel Alpay, etc., James Rovnyak |
| Format: |
Hardback |
| List price:
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£91.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
3764357630 |
| ISBN 13: |
9783764357634 |
| Publisher: |
BIRKHAUSER VERLAG AG |
| Series: |
Operator Theory: Advances and Applications No. 96 |
| Pages: |
224 |
| Description: |
This book gives a modern system theory setting for the relationship between invariant subspaces and factorisation, operator models, Krein-Langer factorizations, and other topics. It is intended for students and researches in mathematics and engineering. |
| Synopsis: |
Generalized Schur functions are scalar- or operator-valued holomorphic functions such that certain associated kernels have a finite number of negative squares. This book develops the realization theory of such functions as characteristic functions of coisometric, isometric, and unitary colligations whose state spaces are reproduced kernal Pontryagin spaces. This provides a modern system theory setting for the relationship between invariant subspaces and factorization, operator models, Krein-Langer factorizations, and other topics. This text is intended for students and researchers in mathematics and engineering. An introductory chapter contains background material, including reproducing kernal Pontryagin spaces, complementary spaces in the sense of de Branges, and a result on defining operators as closures of linear relations. The presentation is such that the indefinite case is handled parallel to the definite case. |
| Publication: |
Switzerland |
| Imprint: |
Birkhauser Verlag AG |
| Returns: |
Non-returnable |
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