{"product_id":"pick-interpolation-and-hilbert-function-spaces-9781470468552","title":"Pick Interpolation and Hilbert Function Spaces","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eRigorously 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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eWritten in a clear, straightforward style, at a level to make it accessible to someone—a mid-level graduate student, say—who wishes to study the material in detail for the first time ... contains exercises ... as well as ... open questions. It brings the reader up to the current 'state of the art' and so will be a valuable resource for the specialist ... would be an excellent basis for a graduate seminar or topics course.\"\" — \u003cem\u003eMathematical Reviews\u003c\/em\u003e\u003cbr\u003e\u003cbr\u003e\"\"Material is wonderfully presented, and the book serves as a lovely introduction to the subject. It is written by two authorities in the field, and helps grad students get entry into an exciting, modern, and very active research area.\"\" — Palle Jorgensen\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cul\u003e\n\u003cli\u003ePrerequisites and notation\u003c\/li\u003e\n\u003cli\u003e Introduction\u003c\/li\u003e\n\u003cli\u003e Kernels and function spaces\u003c\/li\u003e\n\u003cli\u003e Hardy spaces\u003c\/li\u003e\n\u003cli\u003e $P^2(\\mu)$\u003c\/li\u003e\n\u003cli\u003e Pick redux\u003c\/li\u003e\n\u003cli\u003e Qualitative properties of the solution of the Pick problem in $H^\\infty(\\mathbb{D})$\u003c\/li\u003e\n\u003cli\u003e Characterizing kernels with the complete Pick property\u003c\/li\u003e\n\u003cli\u003e The universal Pick kernel\u003c\/li\u003e\n\u003cli\u003e Interpolating sequences\u003c\/li\u003e\n\u003cli\u003e Model theory I: Isometries\u003c\/li\u003e\n\u003cli\u003e The bidisk\u003c\/li\u003e\n\u003cli\u003e The extremal three point problem on $\\mathbb{D}^2$\u003c\/li\u003e\n\u003cli\u003e Collections of kernels\u003c\/li\u003e\n\u003cli\u003e Model theory II: Function spaces\u003c\/li\u003e\n\u003cli\u003e Localization\u003c\/li\u003e\n\u003cli\u003e Schur products\u003c\/li\u003e\n\u003cli\u003e Parrott's lemma\u003c\/li\u003e\n\u003cli\u003e Riesz interpolation\u003c\/li\u003e\n\u003cli\u003e The spectral theorem for normal $m$-tuples\u003c\/li\u003e\n\u003cli\u003e Bibliography\u003c\/li\u003e\n\u003cli\u003e Index\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"MP-AMM American Mathematical","offers":[{"title":"Default Title","offer_id":50046722867543,"sku":"9781470468552","price":70.2,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781470468552.jpg?v=1740272759","url":"https:\/\/bookcurl.com\/products\/pick-interpolation-and-hilbert-function-spaces-9781470468552","provider":"Book Curl","version":"1.0","type":"link"}