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eBook ISBN:  9781470415853 
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Softcover ISBN:  9780821848791 
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Softcover ISBN:  9780821848791 
Product Code:  CRMP/51 
List Price:  $117.00 
MAA Member Price:  $105.30 
AMS Member Price:  $93.60 
eBook ISBN:  9781470415853 
Product Code:  CRMP/51.E 
List Price:  $110.00 
MAA Member Price:  $99.00 
AMS Member Price:  $88.00 
Softcover ISBN:  9780821848791 
eBook ISBN:  9781470415853 
Product Code:  CRMP/51.B 
List Price:  $227.00 $172.00 
MAA Member Price:  $204.30 $154.80 
AMS Member Price:  $181.60 $137.60 

Book DetailsCRM Proceedings & Lecture NotesVolume: 51; 2010; 214 ppMSC: Primary 46; 47; 31
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 BrangesRovnyak 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.
Titles in this series are copublished with the Centre de Recherches Mathématiques.
ReadershipGraduate students and research mathematicians interested in analytic function theory.

Table of Contents

Chapters

Canonical de Branges–Rovnyak model transferfunction realization for multivariable Schurclass functions

Two variations on the Drury–Averson space

The norm of a truncated Toeplitz operator

Approximation in weighted Hardy spaces for the unit disc

Some remarks on the Toeplitz corona problem

Regularity on the boundary in spaces of holomorphic functions on the unit disk

The search for singularities of solutions to the Dirichlet problem: Recent developments

Invariant subspaces of the Dirichlet space

Arguments of zero sets in the Dirichlet space

Questions on Volterra operators

Nonhomogeneous divcurl decompositions for local Hardy spaces on a domain

On the Bohr radius for simply connected plane domains

Completeness of the system $\{f(\lambda _{n}z)\}$ in ${L_a^2}[\Omega ]$

A formula for the logarithmic derivative and its applications

Composition operators on the minimal Möbius invariant space

Whether regularity is local for the generalized Dirichlet problem


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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 BrangesRovnyak 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.
Titles in this series are copublished with the Centre de Recherches Mathématiques.
Graduate students and research mathematicians interested in analytic function theory.

Chapters

Canonical de Branges–Rovnyak model transferfunction realization for multivariable Schurclass functions

Two variations on the Drury–Averson space

The norm of a truncated Toeplitz operator

Approximation in weighted Hardy spaces for the unit disc

Some remarks on the Toeplitz corona problem

Regularity on the boundary in spaces of holomorphic functions on the unit disk

The search for singularities of solutions to the Dirichlet problem: Recent developments

Invariant subspaces of the Dirichlet space

Arguments of zero sets in the Dirichlet space

Questions on Volterra operators

Nonhomogeneous divcurl decompositions for local Hardy spaces on a domain

On the Bohr radius for simply connected plane domains

Completeness of the system $\{f(\lambda _{n}z)\}$ in ${L_a^2}[\Omega ]$

A formula for the logarithmic derivative and its applications

Composition operators on the minimal Möbius invariant space

Whether regularity is local for the generalized Dirichlet problem