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eBook ISBN:  9781470415891 
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List Price:  $142.00 
MAA Member Price:  $127.80 
AMS Member Price:  $113.60 
Softcover ISBN:  9780821891735 
eBook: ISBN:  9781470415891 
Product Code:  CRMP/55.B 
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Softcover ISBN:  9780821891735 
Product Code:  CRMP/55 
List Price:  $142.00 
MAA Member Price:  $127.80 
AMS Member Price:  $113.60 
eBook ISBN:  9781470415891 
Product Code:  CRMP/55.E 
List Price:  $142.00 
MAA Member Price:  $127.80 
AMS Member Price:  $113.60 
Softcover ISBN:  9780821891735 
eBook ISBN:  9781470415891 
Product Code:  CRMP/55.B 
List Price:  $284.00 $213.00 
MAA Member Price:  $255.60 $191.70 
AMS Member Price:  $227.20 $170.40 

Book DetailsCRM Proceedings & Lecture NotesVolume: 55; 2012; 329 ppMSC: Primary 30; 31; 32
This is the proceedings volume of an international conference entitled Complex Analysis and Potential Theory, which was held to honor the important contributions of two influential analysts, Kohur N. GowriSankaran and Paul M. Gauthier, in June 2011 at the Centre de Recherches Mathématiques (CRM) in Montreal. More than fifty mathematicians from fifteen countries participated in the conference. The twentyfour surveys and research articles contained in this book are based on the lectures given by some of the most established specialists in the fields. They reflect the wide breadth of research interests of the two honorees: from potential theory on trees to approximation on Riemann surfaces, from universality to inner and outer functions and the disc algebra, from branching processes to harmonic extension and capacities, from harmonic mappings and the Harnack principle to integration formulae in \(\mathbb {C}^n\) and the Hartogs phenomenon, from fine harmonicity and plurisubharmonic functions to the binomial identity and the Riemann hypothesis, and more. This volume will be a valuable resource for specialists, young researchers, and graduate students from both fields, complex analysis and potential theory. It will foster further cooperation and the exchange of ideas and techniques to find new research perspectives.
Titles in this series are copublished with the Centre de Recherches Mathématiques.
ReadershipGraduate students and research mathematicians interested in complex analysis and potential theory.

Table of Contents

Chapters

A selfcontained proof of the strongtype capacitary inequality for the Dirichlet space

A simple numerical approach to the Riemann hypothesis

A survey of linear extremal problems in analytic function spaces

A unifying construction for measurevalued continuous and discrete branching processes

Compactifications of the plane and extensions of the disc algebra

Examples of quantitative universal approximation

Harmonic mappings with quadrilateral image

Hartogs phenomenon on unbounded domains—Conjectures and examples

Integration formulae and kernels in singular subvarieties of $\mathbb {C}^n$

Invariant potential theory, derivatives of inner functions, and $B^{p,q}$ spaces in the unit ball of $\mathbb {C}^n$

Logarithmic Hölder estimates of $p$harmonic extension operators in a metric measure space

Meromorphic approximation on noncompact Riemann surfaces

On a family of outer functions

On $C^m$subharmonic extension sets of Walshtype

On maximal plurisubharmonic functions

On universality of series in Banach spaces

Orlicz capacity of balls

Potential analysis on nonsmooth domains—Martin boundary and boundary Harnack principle

Potential theory on trees and mutliplication operators

Recent progress on fine differentiability and fine harmonicity

Reversibility questions in groups arising in analysis

Subordinate harmonic structures in an infinite network

The generalized binomial theorem

Uniform and $C^m$approximation by polyanalytic polynomials


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This is the proceedings volume of an international conference entitled Complex Analysis and Potential Theory, which was held to honor the important contributions of two influential analysts, Kohur N. GowriSankaran and Paul M. Gauthier, in June 2011 at the Centre de Recherches Mathématiques (CRM) in Montreal. More than fifty mathematicians from fifteen countries participated in the conference. The twentyfour surveys and research articles contained in this book are based on the lectures given by some of the most established specialists in the fields. They reflect the wide breadth of research interests of the two honorees: from potential theory on trees to approximation on Riemann surfaces, from universality to inner and outer functions and the disc algebra, from branching processes to harmonic extension and capacities, from harmonic mappings and the Harnack principle to integration formulae in \(\mathbb {C}^n\) and the Hartogs phenomenon, from fine harmonicity and plurisubharmonic functions to the binomial identity and the Riemann hypothesis, and more. This volume will be a valuable resource for specialists, young researchers, and graduate students from both fields, complex analysis and potential theory. It will foster further cooperation and the exchange of ideas and techniques to find new research perspectives.
Titles in this series are copublished with the Centre de Recherches Mathématiques.
Graduate students and research mathematicians interested in complex analysis and potential theory.

Chapters

A selfcontained proof of the strongtype capacitary inequality for the Dirichlet space

A simple numerical approach to the Riemann hypothesis

A survey of linear extremal problems in analytic function spaces

A unifying construction for measurevalued continuous and discrete branching processes

Compactifications of the plane and extensions of the disc algebra

Examples of quantitative universal approximation

Harmonic mappings with quadrilateral image

Hartogs phenomenon on unbounded domains—Conjectures and examples

Integration formulae and kernels in singular subvarieties of $\mathbb {C}^n$

Invariant potential theory, derivatives of inner functions, and $B^{p,q}$ spaces in the unit ball of $\mathbb {C}^n$

Logarithmic Hölder estimates of $p$harmonic extension operators in a metric measure space

Meromorphic approximation on noncompact Riemann surfaces

On a family of outer functions

On $C^m$subharmonic extension sets of Walshtype

On maximal plurisubharmonic functions

On universality of series in Banach spaces

Orlicz capacity of balls

Potential analysis on nonsmooth domains—Martin boundary and boundary Harnack principle

Potential theory on trees and mutliplication operators

Recent progress on fine differentiability and fine harmonicity

Reversibility questions in groups arising in analysis

Subordinate harmonic structures in an infinite network

The generalized binomial theorem

Uniform and $C^m$approximation by polyanalytic polynomials