Classical Fine Potential Theory

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Éditeur :

Springer

Paru le : 2025-04-03

This comprehensive book explores the intricate realm of fine potential theory. Delving into the real theory, it navigates through harmonic and subharmonic functions, addressing the famed Dirichlet problem within finely open sets of R^n. These sets are defined relative to the coarsest topology o...
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Éditeur

Collection
n.c

Parution
2025-04-03

Pages
420 pages

EAN papier
9789819604296

Auteur(s) du livre


Mohamed El Kadiri is formerly a Professor of Mathematics in Mohammed 5 University in Rabat. Morocco, for more than 35 years. His research activities include classical, axiomatic and probabilistic potential theories, complex variables theory, Choquet’s theory and biharmonic functions theory. He collaborated with Bent Fuglede in a series of works on the Martin boundary of a fine domain in Rn and relative questions: integral representation of nonnegative finely harmonic functions. In his collaboration with Fuglede and with Wiegerinck on the theory of plurifinely plurisubharmonic functions, he contributed to establishing the most important properties of the latter class of functions, and to the extension of the Monge-Ampère operator for finite function in this class and to the study of maximal plurifinely plurisubharmonic functions. Bent Fuglede is formerly Professor Emeritus at the Department of Mathematical Sciences, University of Copenhagen, Denmark. His research fields include functional analysis, potential theory, classical and axiomatic potential theories, capacity theory, fine topology, finely harmonic functions, Dirichlet problem, maximum principles and complex analysis in one or more variables. Author of two books, Finely Harmonic Functions and Harmonic Maps Between Rieman Polyhedra, his works greatly influenced the development of potential theory during the second half of the 20th century.

Caractéristiques détaillées - droits

EAN PDF
9789819604302
Prix
158,24 €
Nombre pages copiables
4
Nombre pages imprimables
42
Taille du fichier
5878 Ko
EAN EPUB
9789819604302
Prix
158,24 €
Nombre pages copiables
4
Nombre pages imprimables
42
Taille du fichier
48353 Ko

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