Hilbert spaces of analytic functions
著者
書誌事項
Hilbert spaces of analytic functions
（CRM proceedings & lecture notes, v. 51）
American Mathematical Society, c2010
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注記
"The workshop entitled Hilbert Spaces of Analytic Functions was held at the Centre de recherches mathématiques (CRM), Montréal, from 8 to 12 December 2008. "--Pref
Includes bibliographical references, list of participants and list of speakers
内容説明・目次
内容説明
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 Montreal and provides an account of the latest developments in the field of analytic function theory. Titles in this series are co-published with the Centre de Recherches Mathematiques. (CRMP/51)
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