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OverviewThe Cauchy transform of a measure on the circle is a subject of both classical and current interest with a sizable literature. This book is a thorough, well-documented, and readable survey of this literature and includes full proofs of the main results of the subject. This book also covers more recent perturbation theory as covered by Clark, Poltoratski, and Aleksandrov and contains an indepth treatment of Clark measures. Full Product DetailsAuthor: Joseph A. Cima , Alec L. Matheson , William T. RossPublisher: American Mathematical Society Imprint: American Mathematical Society Edition: illustrated Edition Volume: No. 125 Weight: 0.680kg ISBN: 9780821838716ISBN 10: 0821838717 Pages: 272 Publication Date: 30 March 2006 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: Temporarily unavailable ![]() The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you. Table of ContentsOverview Preliminaries The Cauchy transform as a function The Cauchy transform as an operator Topologies on the space of Cauchy transforms Which functions are Cauchy integrals? Multipliers and divisors The distribution function for Cauchy transforms The backward shift on $H^2$ Clark measures The normalized Cauchy transform Other operators on the Cauchy transforms List of symbols Bibliography Index.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |