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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.
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- PublisherAmerican Mathematical Society
- Publication date2010
- ISBN 10 0821848798
- ISBN 13 9780821848791
- BindingPaperback
- Number of pages214
- EditorJavad Mashreghi, Thomas Ransford, Kristian Seip
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Hilbert Spaces of Analytic Functions (CRM Proceedings & Lecture Notes)
Published by
American Mathematical Society
(2010)
ISBN 10: 0821848798
ISBN 13: 9780821848791
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Paperback
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