Alec L. Matheson

Conference on Recent Advances in Operator Related Function Theory

Conference on Recent Advances in Operato

The articles in this book are based on talks at a conference devoted to interrelations between function theory and the theory of operators. The main theme of the book is the role of Alexandrov-Clark measures. Two of the articles provide the introduction to the theory of Alexandrov-Clark measures and to its applications in the spectral theory of linear operators. The remaining articles deal with recent results in specific directions related to the theme of the book.

Conference on Recent Advances in Operator-Related Function Theory, Trinity College, Dublin, Ireland, August 4-6, 2004

Recent Advances in Operator-Related Function Theory

William T. Ross

Joseph A. Cima

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.

Alec L. Matheson

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