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Hilbert spaces of analytic functions / Javad Mashreghi, Thomas Ransford, Kristian Seip, editors.
- Format:
- Book
- Series:
- CRM proceedings & lecture notes ; Volume 51.
- CRM Proceedings & Lecture Notes ; Volume 51
- Language:
- English
- Subjects (All):
- Hilbert space--Congresses.
- Hilbert space.
- Analytic functions--Congresses.
- Analytic functions.
- Potential theory (Mathematics)--Congresses.
- Potential theory (Mathematics).
- Physical Description:
- 1 online resource (217 pages) : illustrations.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, 2010.
- Summary:
- 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)
- Notes:
- Includes bibliographical references at the end of each chapters.
- Description based on print version record.
- ISBN:
- 1-4704-1585-2
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