ISBN is

978-0-8218-2898-4 / 9780821828984

Pick Interpolation and Hilbert Function Spaces

by

Publisher:American Mathematical Society

Edition:Hardcover

Language:English

Prices INCLUDE standard shipping to United States
Show prices without shipping
Change shipping destination/currency
Shipping prices may be approximate. Please verify cost before checkout.

About the book:

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.

Search under way...

Search complete.

Click on the price to find out more about a book.

New books: 1 - 25 of 45

   

Used books: 1 - 25 of 37