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Recent Advances in Operator-Related Function Theory
 
Edited by: Alec L. Matheson Lamar University, Beaumont, TX
Michael I. Stessin State University of New York (SUNY), Albany, NY
Richard M. Timoney Trinity College, Dublin, Ireland
Recent Advances in Operator-Related Function Theory
eBook ISBN:  978-0-8218-7983-2
Product Code:  CONM/393.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Recent Advances in Operator-Related Function Theory
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Recent Advances in Operator-Related Function Theory
Edited by: Alec L. Matheson Lamar University, Beaumont, TX
Michael I. Stessin State University of New York (SUNY), Albany, NY
Richard M. Timoney Trinity College, Dublin, Ireland
eBook ISBN:  978-0-8218-7983-2
Product Code:  CONM/393.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 3932006; 214 pp
    MSC: Primary 46; 47; 30

    The articles in this book are based on talks at a conference devoted to interrelations between function theory and the theory of operators. The main theme of the book is the role of Alexandrov-Clark measures. Two of the articles provide the introduction to the theory of Alexandrov-Clark measures and to its applications in the spectral theory of linear operators. The remaining articles deal with recent results in specific directions related to the theme of the book.

    Readership

    Research mathematicians interested in operator theory and function theory.

  • Table of Contents
     
     
    • Articles
    • Alexei Poltoratski and Donald Sarason — Aleksandrov-Clark measures
    • Alec Matheson and Michael Stessin — Applications of spectral measures
    • Jim Agler and John E. McCarthy — Parametrizing distinguished varieties
    • John T. Anderson and John Wermer — Approximation by CR functions on the unit sphere in $\mathbb {C}^2$
    • Stephen M. Buckley and Dragan Vukotić — Superposition operators and the order and type of entire functions
    • Konstantin Dyakonov and Dmitry Khavinson — Smooth functions in star-invariant subspaces
    • Stephan Ramon Garcia — Conjugation and Clark operators
    • Daniel Girela — A class of conformal mappings with applications to function spaces
    • Hyungwoon Koo and Wayne Smith — Composition operators between Bergman spaces of functions of several variables
    • María J. Martín and Dragan Vukotić — Isometries of some classical function spaces among the composition operators
    • Alfonso Montes-Rodríguez and Stanislav A. Shkarin — New results on a classical operator
    • Jordi Pau — Size conditions to be in a finitely generated ideal of $H^\infty $
    • William T. Ross — The classical Dirichlet space
    • Eero Saksman and Carl Sundberg — Comparing topologies on the space of composition operators
    • Wayne Smith — Brennan’s conjecture for weighted composition operators
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 3932006; 214 pp
MSC: Primary 46; 47; 30

The articles in this book are based on talks at a conference devoted to interrelations between function theory and the theory of operators. The main theme of the book is the role of Alexandrov-Clark measures. Two of the articles provide the introduction to the theory of Alexandrov-Clark measures and to its applications in the spectral theory of linear operators. The remaining articles deal with recent results in specific directions related to the theme of the book.

Readership

Research mathematicians interested in operator theory and function theory.

  • Articles
  • Alexei Poltoratski and Donald Sarason — Aleksandrov-Clark measures
  • Alec Matheson and Michael Stessin — Applications of spectral measures
  • Jim Agler and John E. McCarthy — Parametrizing distinguished varieties
  • John T. Anderson and John Wermer — Approximation by CR functions on the unit sphere in $\mathbb {C}^2$
  • Stephen M. Buckley and Dragan Vukotić — Superposition operators and the order and type of entire functions
  • Konstantin Dyakonov and Dmitry Khavinson — Smooth functions in star-invariant subspaces
  • Stephan Ramon Garcia — Conjugation and Clark operators
  • Daniel Girela — A class of conformal mappings with applications to function spaces
  • Hyungwoon Koo and Wayne Smith — Composition operators between Bergman spaces of functions of several variables
  • María J. Martín and Dragan Vukotić — Isometries of some classical function spaces among the composition operators
  • Alfonso Montes-Rodríguez and Stanislav A. Shkarin — New results on a classical operator
  • Jordi Pau — Size conditions to be in a finitely generated ideal of $H^\infty $
  • William T. Ross — The classical Dirichlet space
  • Eero Saksman and Carl Sundberg — Comparing topologies on the space of composition operators
  • Wayne Smith — Brennan’s conjecture for weighted composition operators
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.