[PDF.86kh] Pick Interpolation and Hilbert Function Spaces

Pick Interpolation and Hilbert Function Spaces

[PDF.ym88] Pick Interpolation and Hilbert Function Spaces

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 | #3279526 in Books |  American Mathematical Society |  2002-03-01 | Original language:English |  10.00 x7.25 x1.00l,1.70 | File type: PDF | 328 pages

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||4 of 4 people found the following review helpful.| Classical and modern [math analysis]|By Palle E T Jorgensen|Classical and modern.
The "interpolation" part of the title refers to a classical result of G. Pick [1916], and R. Nevanlinna [1919]. They did it independently. Since the disk D (in one complex variable)is a model of a hyperbolic metric space, interpolation can't be done by just drawing straight lines. If two fini

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 ...

You easily download any file type for your device.Pick Interpolation and Hilbert Function Spaces   |  Jim Agler, John E. McCarthy. I have read it a couple of times and even shared with my family members. Really good. Couldnt put it down.

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