Pick Interpolation and Hilbert Function Spaces
Language: English
Published by American Mathematical Society, US, 2002
- Softcover
- New
Seller: Rarewaves.com USA, London, London, United KingdomRarewaves.com USA
AbeBooks seller since June 11, 2025
Condition: New
£ 89.74
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The book first rigorously develops the theory of reproducing kernel Hilbert spaces. The authors then discuss the Pick problem of finding the function of smallest $H^\infty$ norm that has specified values at a finite number of points in the disk. Their viewpoint is to consider $H^\infty$ as the multiplier algebra of the Hardy space and to use Hilbert space techniques to solve the problem. This approach generalizes to a wide collection of spaces.The authors then consider the interpolation problem in the space of bounded analytic functions on the bidisk and give a complete description of the solution. They then consider very general interpolation problems. The book includes developments of all the theory that is needed, including operator model theory, the Arveson extension theorem, and the hereditary functional calculus.
Seller Inventory # LU-9781470468552
- Title
- Pick Interpolation and Hilbert Function Spaces
- Author
- Jim Agler, John E. McCarthy
- Publisher
- American Mathematical Society, US
- Publication year
- 2002
- Condition
- New
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1470468557
- ISBN 13
- 9781470468552
- Series
- Book 188 of 190: Graduate Studies in Mathematics
The authors then consider the interpolation problem in the space of bounded analytic functions on the bidisk and give a complete description of the solution. They then consider very general interpolation problems. The book includes developments of all the theory that is needed, including operator model theory, the Arveson extension theorem, and the hereditary functional calculus.
"Synopsis" may belong to another edition of this title.
About the Author
John E. McCarthy, Washington University, St. Louis, MO.
"About the title" may belong to another edition of this title.
Rarewaves.com USA
London, London, United Kingdom
AbeBooks seller since June 11, 2025
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