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Five Lectures in Complex Analysis
 
Edited by: Manuel D. Contreras Universidad de Sevilla, Sevilla, Spain
Santiago Díaz-Madrigal Universidad de Sevilla, Sevilla, Spain
Five Lectures in Complex Analysis
Softcover ISBN:  978-0-8218-4809-8
Product Code:  CONM/525
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-8204-7
Product Code:  CONM/525.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-4809-8
eBook: ISBN:  978-0-8218-8204-7
Product Code:  CONM/525.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Five Lectures in Complex Analysis
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Five Lectures in Complex Analysis
Edited by: Manuel D. Contreras Universidad de Sevilla, Sevilla, Spain
Santiago Díaz-Madrigal Universidad de Sevilla, Sevilla, Spain
Softcover ISBN:  978-0-8218-4809-8
Product Code:  CONM/525
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-8204-7
Product Code:  CONM/525.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-4809-8
eBook ISBN:  978-0-8218-8204-7
Product Code:  CONM/525.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 5252010; 161 pp
    MSC: Primary 30; 37; 47; 76

    This volume contains state-of-the-art survey papers in complex analysis based on lectures given at the Second Winter School on Complex Analysis and Operator Theory held in February 2008 at the University of Sevilla, Sevilla, Spain.

    Complex analysis is one of the most classical branches of mathematical analysis and is closely related to many other areas of mathematics, including operator theory, harmonic analysis, probability theory, functional analysis and dynamical systems. Undoubtedly, the interplay among all these branches gives rise to very beautiful and deep results in complex analysis and its neighboring fields. This interdisciplinary aspect of complex analysis is the central topic of this volume.

    This book collects the latest advances in five significant areas of rapid development in complex analysis. The papers are: Local holomorphic dynamics of diffeomorphisms in dimension one, by F. Bracci, Nonpositive curvature and complex analysis, by S. M. Buckley, Virasoro algebra and dynamics in the space of univalent functions, by I. Markina and A. Vasil'ev, Composition operators \(\heartsuit\) Toeplitz operators, by J. H. Shapiro, and Two applications of the Bergman spaces techniques, by S. Shimorin.

    The papers are aimed, in particular, at graduate students with some experience in basic complex analysis. They might also serve as introductions for general researchers in mathematical analysis who may be interested in the specific areas addressed by the authors. Indeed, the contributions can be considered as up-to-the-minute reports on the current state of the fields, each of them including many recent results which may be difficult to find in the literature.

    This book is published in cooperation with Real Sociedád Matematica Española.
    Readership

    Graduate students and research mathematicians interested in complex analysis and operator theory.

  • Table of Contents
     
     
    • Articles
    • Filippo Bracci — Local holomorphic dynamics of diffeomorphisms in dimension one [ MR 2683218 ]
    • Stephen M. Buckley — Nonpositive curvature and complex analysis [ MR 2683219 ]
    • Irina Markina and Alexander Vasil’ev — Virasoro algebra and dynamics in the space of univalent functions [ MR 2683220 ]
    • Joel H. Shapiro — Composition operators $\heartsuit $ Toeplitz operators [ MR 2683221 ]
    • Serguei Shimorin — Two applications of the Bergman spaces techniques [ MR 2683222 ]
  • 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: 5252010; 161 pp
MSC: Primary 30; 37; 47; 76

This volume contains state-of-the-art survey papers in complex analysis based on lectures given at the Second Winter School on Complex Analysis and Operator Theory held in February 2008 at the University of Sevilla, Sevilla, Spain.

Complex analysis is one of the most classical branches of mathematical analysis and is closely related to many other areas of mathematics, including operator theory, harmonic analysis, probability theory, functional analysis and dynamical systems. Undoubtedly, the interplay among all these branches gives rise to very beautiful and deep results in complex analysis and its neighboring fields. This interdisciplinary aspect of complex analysis is the central topic of this volume.

This book collects the latest advances in five significant areas of rapid development in complex analysis. The papers are: Local holomorphic dynamics of diffeomorphisms in dimension one, by F. Bracci, Nonpositive curvature and complex analysis, by S. M. Buckley, Virasoro algebra and dynamics in the space of univalent functions, by I. Markina and A. Vasil'ev, Composition operators \(\heartsuit\) Toeplitz operators, by J. H. Shapiro, and Two applications of the Bergman spaces techniques, by S. Shimorin.

The papers are aimed, in particular, at graduate students with some experience in basic complex analysis. They might also serve as introductions for general researchers in mathematical analysis who may be interested in the specific areas addressed by the authors. Indeed, the contributions can be considered as up-to-the-minute reports on the current state of the fields, each of them including many recent results which may be difficult to find in the literature.

This book is published in cooperation with Real Sociedád Matematica Española.
Readership

Graduate students and research mathematicians interested in complex analysis and operator theory.

  • Articles
  • Filippo Bracci — Local holomorphic dynamics of diffeomorphisms in dimension one [ MR 2683218 ]
  • Stephen M. Buckley — Nonpositive curvature and complex analysis [ MR 2683219 ]
  • Irina Markina and Alexander Vasil’ev — Virasoro algebra and dynamics in the space of univalent functions [ MR 2683220 ]
  • Joel H. Shapiro — Composition operators $\heartsuit $ Toeplitz operators [ MR 2683221 ]
  • Serguei Shimorin — Two applications of the Bergman spaces techniques [ MR 2683222 ]
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.