Classical and Modern Potential Theory and Applications

Name: Classical and Modern Potential Theory and Applications
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ISBN: 9780792328032

NATO Science Series C:

By: K.. Gowrisankaran (Editor), J. Bliedtner (Editor), D. Feyel (Editor), M. Goldstein (Editor), W. K. Hayman (Editor)

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Hardcover Published: 30th April 1994
ISBN: 9780792328032
Number Of Pages: 470

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A NATO Advanced Research Workshop on Classical and Modern Potential The- ory and Applications was held at the Chateau de Bonas, France, during the last week of July 1993. The workshop was organized by the Co-Directors M. Goldstein (Ari- zona) and K. GowriSankaran (Montreal). The other members of the organizing committee were J. Bliedtner (Frankfurt), D. Feyel (Paris), W. K. Hayman (York, England) and I. Netuka (Praha). The objective of the workshop was to bring to- gether the researchers at the forefront of the aspects of the Potential Theory for a meaningful dialogue and for positive interaction amongst the mathematicians prac- tising different aspects of the theory and its applications. Fifty one mathematicians participated in the workshop. The workshop covered a fair representation of the classical aspects of the theory covering topics such as approximations, radial be- haviour, value distributions of meromorphic functions and the modern Potential theory including axiomatic developments, probabilistic theories, studies on infinite dimensional Wiener spaces, solutions of powers of Laplacian and other second order partial differential equations. There were keynote addresses delivered by D. Armitage (Belfast), N. Bouleau (Paris), A. Eremenko (Purdue), S. J. Gardiner (Dublin), W. Hansen (Bielefeld), W. Hengartner (Laval U. , Quebec), K. Janssen (Dusseldorf), T. Murai (Nagoya), A. de la Pradelle (Paris) and J. M. Wu (Urbana). There were thirty six other invited talks of one half hour duration each.

Preface
List of Participants
Nonlinear PDE and the Wiener Test	p. 1
k-Superharmonic Functions and L. Kelvin's Theorem	p. 11
On the Invariance of the Solutions of the Weinstein Equation under Mobius Transformations	p. 19
Radial Limiting Behaviour of Harmonic and Superharmonic Functions	p. 31
Multiparameter Processes associated with Ornstein-Uhlenbeck Semi-groups	p. 41
On the Problem of Hypoellipticity on the Infinite Dimensional Torus	p. 57
L'equation de Monge-Ampere dans un espace de Banach	p. 61
Excessive Functions and Excessive Measures. Hunt's Theorem on Balayages, Quasi-continuity	p. 77
The Wiener Test for Poincare-Dirichlet Forms	p. 93
The Best Approach for Boundary Limits	p. 105
Fine Behaviour of Balayages in Potential Theory	p. 113
Some Results about Sequential Integration on Wiener Space	p. 125
Schwarz Lemma type Inequalities for Harmonic Functions in the Ball	p. 133
Duality of H-Cones	p. 149
Regularite et Integrabilite des Fonctionnelles de Wiener	p. 159
Poincare Inequalities in L[superscript 1]-norm for the Sphere and a Strong Isoperimetric Inequality in R[superscript n]	p. 165
Uniform and Tangential Harmonic Approximation	p. 185
Inversion and Reflecting Brownian Motion	p. 199
[Gamma]-Potentials	p. 217
Fatou-Doob Limits and the Best Filters	p. 233
Gaussian Upper Bounds for the Heat Kernel and its Derivatives on a Riemannian Manifold	p. 237
Integrals of Analytic Functions along 2 Curves	p. 253
On the Restricted Mean Value Property for Measurable Functions	p. 267
A Constructive Method for Univalent Logharmonic Mappings	p. 273
Choquet Type Integral Representation of Polyexcessive Functions	p. 293
Refining the Local Uniform Convergence Topology	p. 315
Daily Rheological Phenomena	p. 317
Convergence Property and Superharmonic Functions on Balayage Spaces	p. 353
Mean Value Property of Harmonic Functions	p. 359
Farrell and Mergelyan Sets for the Space of Bounded Harmonic Functions	p. 399
Methodes Analytiques en Dimension Infinie	p. 413
Construction d'un Processus a deux Parametres a partir d'un Semi-groupe a un Parametre	p. 419
Capacities and Harmonic Measures for Uniformly Elliptic Operators of non-Divergence Form	p. 453
Problems	p. 461
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792328032
ISBN-10: 0792328035
Series: NATO Science Series C:
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 470
Published: 30th April 1994
Publisher: SPRINGER VERLAG GMBH
Country of Publication: NL
Dimensions (cm): 23.39 x 15.6 x 2.69
Weight (kg): 0.86