Hilbert spaces of analytic functions

✍ Scribed by Ransford T., Seip K., Mashreghi J. (eds.)

• Publisher: AMS
• Year: 2010
• Tongue: English
• Leaves: 225
• Series: Crm Proceedings & Lecture Notes
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Contents......Page all_18174_to_00224.cpc0004.djvu
List of Participants......Page all_18174_to_00224.cpc0006.djvu
List of Speakers......Page all_18174_to_00224.cpc0008.djvu
Preface......Page all_18174_to_00224.cpc0010.djvu
Canonical de Branges Rovnyak Model Transfer-Function Realization for Multivariable Schur-Class Functions......Page all_18174_to_00224.cpc0011.djvu
Two Variations on the Drury Arveson Space......Page all_18174_to_00224.cpc0051.djvu
The Norm of a Truncated Toeplitz Operator......Page all_18174_to_00224.cpc0069.djvu
Approximation in Weighted Hardy Spaces for the Unit Disc......Page all_18174_to_00224.cpc0075.djvu
Some Remarks on the Toeplitz Corona Problem......Page all_18174_to_00224.cpc0091.djvu
Regularity on the Boundary in Spaces of Holomorphic Functions on the Unit Disc......Page all_18174_to_00224.cpc0101.djvu
The Search for Singularities of Solutions to the Dirichlet Problem: Recent Developments......Page all_18174_to_00224.cpc0131.djvu
Invariant Subspaces of the Dirichlet Space......Page all_18174_to_00224.cpc0143.djvu
Arguments of Zero Sets in the Dirichlet Space......Page all_18174_to_00224.cpc0153.djvu
Questions on Volterra Operators......Page all_18174_to_00224.cpc0159.djvu
Nonhomogeneous Div-Curl Decompositions for Local Hardy Spaces on a Domain......Page all_18174_to_00224.cpc0163.djvu
On the Bohr Radius for Simply Connected Plane Domains......Page all_18174_to_00224.cpc0175.djvu
Completeness of the System {f(\lambda_n z)} in L^2_a(\Omega)......Page all_18174_to_00224.cpc0183.djvu
A Formula for the Logarithmic Derivative and Its Applications......Page all_18174_to_00224.cpc0207.djvu
Composition Operators on the Minimal Möbius Invariant Space......Page all_18174_to_00224.cpc0213.djvu
Whether Regularity is Local for the Generalized Dirichlet Problem......Page all_18174_to_00224.cpc0221.djvu