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.
Pick Interpolation and Hilbert Function Spaces by Jim Agler, John E. McCarthy ebook pdf epub mobi
Pick Interpolation and Hilbert Function Spaces book
Pick Interpolation and Hilbert Function Spaces pdf free download
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