The Cauchy transform
By: Joseph A. Cima, Alec L. Matheson, William T. Ross.
Contributors: Matheson, Alec L., 1946-; Ross, William T., 1964-
Series: Mathematical surveys and monographs,; v. 125; Mathematical surveys and monographs ;; no. 125.
Publisher: American Mathematical Society
Published: 2006
Place of publication: Providence, R.I
Language: eng
Number of pages: 272
Subjects: Cauchy integrals; Cauchy transform; Functions of complex variables; Holomorphic functions; Operator theory
Description: The 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 in-depth treatment of Clark measures.
Notes: Includes bibliographical references and index.