Pick Interpolation and Hilbert Function Spaces |
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| Author:
| Agler, Jim
McCarthy, John E. |
| Series title: | Graduate Studies in Mathematics Ser. |
| ISBN: | 978-1-4704-6855-2 |
| Publication Date: | Dec 2022 |
| Publisher: | American Mathematical Society
|
| Book Format: | Paperback |
| List Price: | USD $64.00 |
Book Description:
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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.
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.