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 indepth treatment of Clark measures.
| ISBN: | 9780821838716 |
| Publication date: | 30th March 2006 |
| Author: | Joseph A Cima, Alec L Matheson, William T Ross |
| Publisher: | American Mathematical Society |
| Format: | Hardback |
| Pagination: | 272 pages |
| Series: | Mathematical Surveys and Monographs |
| Genres: |
Complex analysis, complex variables Functional analysis and transforms Calculus and mathematical analysis |