Publication series :CRM Proceedings & Lecture Notes
Author: Javad Mashreghi;Thomas Ransford;Kristian Seip
Publisher: American Mathematical Society
Publication year: 2010
E-ISBN: 9781470415853
P-ISBN(Paperback): 9780821848791
Subject: O1 Mathematics
Keyword: 暂无分类
Language: ENG
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Hilbert Spaces of Analytic Functions
Description
Hilbert spaces of analytic functions are currently a very active field of complex analysis. The Hardy space is the most senior member of this family. However, other classes of analytic functions such as the classical Bergman space, the Dirichlet space, the de Branges-Rovnyak spaces, and various spaces of entire functions, have been extensively studied. These spaces have been exploited in different fields of mathematics and also in physics and engineering. For example, de Branges used them to solve the Bieberbach conjecture. Modern control theory is another place that heavily exploits the techniques of analytic function theory. This book grew out of a workshop held in December 2008 at the CRM in Montréal and provides an account of the latest developments in the field of analytic function theory.
Chapter