| Softcover ISBN: | 978-0-8218-9173-5 |
| Product Code: | CRMP/55 |
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| eBook ISBN: | 978-1-4704-1589-1 |
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| List Price: | $142.00 |
| MAA Member Price: | $127.80 |
| AMS Member Price: | $113.60 |
| Softcover ISBN: | 978-0-8218-9173-5 |
| eBook: ISBN: | 978-1-4704-1589-1 |
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| Softcover ISBN: | 978-0-8218-9173-5 |
| Product Code: | CRMP/55 |
| List Price: | $142.00 |
| MAA Member Price: | $127.80 |
| AMS Member Price: | $113.60 |
| eBook ISBN: | 978-1-4704-1589-1 |
| Product Code: | CRMP/55.E |
| List Price: | $142.00 |
| MAA Member Price: | $127.80 |
| AMS Member Price: | $113.60 |
| Softcover ISBN: | 978-0-8218-9173-5 |
| eBook ISBN: | 978-1-4704-1589-1 |
| Product Code: | CRMP/55.B |
| List Price: | $284.00 $213.00 |
| MAA Member Price: | $255.60 $191.70 |
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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 twenty-four 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 co-published with the Centre de Recherches Mathématiques.
ReadershipGraduate students and research mathematicians interested in complex analysis and potential theory.
-
Table of Contents
-
Chapters
-
A self-contained proof of the strong-type 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 measure-valued 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 Walsh-type
-
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
-
-
Additional Material
-
RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
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 twenty-four 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 co-published with the Centre de Recherches Mathématiques.
Graduate students and research mathematicians interested in complex analysis and potential theory.
-
Chapters
-
A self-contained proof of the strong-type 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 measure-valued 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 Walsh-type
-
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
