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Hilbert Spaces of Analytic Functions
 
Edited by: Javad Mashreghi Université Laval, Montréal, QC, Canada
Thomas Ransford Université Laval, Quebec, QC, Canada
Kristian Seip Norwegian University of Science and Technology, Trondheim, Norway
A co-publication of the AMS and Centre de Recherches Mathématiques
Hilbert Spaces of Analytic Functions
Softcover ISBN:  978-0-8218-4879-1
Product Code:  CRMP/51
List Price: $117.00
MAA Member Price: $105.30
AMS Member Price: $93.60
eBook ISBN:  978-1-4704-1585-3
Product Code:  CRMP/51.E
List Price: $110.00
MAA Member Price: $99.00
AMS Member Price: $88.00
Softcover ISBN:  978-0-8218-4879-1
eBook: ISBN:  978-1-4704-1585-3
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
Hilbert Spaces of Analytic Functions
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Hilbert Spaces of Analytic Functions
Edited by: Javad Mashreghi Université Laval, Montréal, QC, Canada
Thomas Ransford Université Laval, Quebec, QC, Canada
Kristian Seip Norwegian University of Science and Technology, Trondheim, Norway
A co-publication of the AMS and Centre de Recherches Mathématiques
Softcover ISBN:  978-0-8218-4879-1
Product Code:  CRMP/51
List Price: $117.00
MAA Member Price: $105.30
AMS Member Price: $93.60
eBook ISBN:  978-1-4704-1585-3
Product Code:  CRMP/51.E
List Price: $110.00
MAA Member Price: $99.00
AMS Member Price: $88.00
Softcover ISBN:  978-0-8218-4879-1
eBook ISBN:  978-1-4704-1585-3
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 Details
     
     
    CRM Proceedings & Lecture Notes
    Volume: 512010; 214 pp
    MSC: 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 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 Montréal 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 Mathématiques.

    Readership

    Graduate students and research mathematicians interested in analytic function theory.

  • Table of Contents
     
     
    • Chapters
    • Canonical de Branges–Rovnyak model transfer-function realization for multivariable Schur-class 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 div-curl 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
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 512010; 214 pp
MSC: 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 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 Montréal 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 Mathématiques.

Readership

Graduate students and research mathematicians interested in analytic function theory.

  • Chapters
  • Canonical de Branges–Rovnyak model transfer-function realization for multivariable Schur-class 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 div-curl 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
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.