Titlebook: Approximation by Solutions of Partial Differential Equations; B. Fuglede,M. Goldstein,L. Rogge Book 1992 Springer Science+Business Media D

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1389-2185 ring theory, harmonic and maximal measures for rationalfunctions and the solution of the classical Dirichlet problem. Inaddition, this volume includes some problems in potential theory whichwere presented in the Problem Session at Hanstholm. .978-94-010-5074-6978-94-011-2436-2Series ISSN 1389-2185

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Approximation by Solutions of Partial Differential Equations

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Vinyl Chloride-Associated Disease,of approximation of harmonic functions by single layer potentials is investigated. Section 3 deals with pervasive function spaces and harmonic approximation. Finally, Section 4 is devoted to approximation of Perron-Wiener-Brelot solutions by solutions of the classical Dirichlet problem.

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Approximation by Harmonic Functions and the Dirichlet Problem,of approximation of harmonic functions by single layer potentials is investigated. Section 3 deals with pervasive function spaces and harmonic approximation. Finally, Section 4 is devoted to approximation of Perron-Wiener-Brelot solutions by solutions of the classical Dirichlet problem.

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P. Frick,G.-A. Harnack,H. P. Wolffrms, namely in the spaces .., Lip . and BMO (see [3] and the references therein). In [3], the results were extended to unbounded sets. Note that for uniform approximation, this generalization had been known since 1972 (see [15] and [8]).

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Better than Uniform Approximation on Closed Sets by Harmonic Functions with Singularities and Applitheorems for better than uniform harmonic approximation on . and applications of these theorems to the study of growth and decay properties of entire harmonic and entire holo-morphic functions along rays, the classical Dirichlet problem, and the theory of the Radon transform.