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Difference between revisions of "Harmonic capacity"

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A term formerly employed to denote the [[Capacity|capacity]] of a set in a Euclidean space <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/h/h046/h046440/h0464401.png" />, obtained by the method of classical [[Potential theory|potential theory]] with the aid of the [[Newton potential|Newton potential]] for <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/h/h046/h046440/h0464402.png" />, or the [[Logarithmic potential|logarithmic potential]] for <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/h/h046/h046440/h0464403.png" />, as distinct from the [[Analytic capacity|analytic capacity]] or capacities obtainable using other types of potentials.
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A term formerly employed to denote the [[Capacity|capacity]] of a set in a Euclidean space $  \mathbf R  ^ {n} $,  
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obtained by the method of classical [[Potential theory|potential theory]] with the aid of the [[Newton potential|Newton potential]] for $  n \geq  3 $,  
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or the [[Logarithmic potential|logarithmic potential]] for $  n = 2 $,  
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as distinct from the [[Analytic capacity|analytic capacity]] or capacities obtainable using other types of potentials.

Latest revision as of 19:43, 5 June 2020


A term formerly employed to denote the capacity of a set in a Euclidean space $ \mathbf R ^ {n} $, obtained by the method of classical potential theory with the aid of the Newton potential for $ n \geq 3 $, or the logarithmic potential for $ n = 2 $, as distinct from the analytic capacity or capacities obtainable using other types of potentials.

How to Cite This Entry:
Harmonic capacity. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Harmonic_capacity&oldid=17100
This article was adapted from an original article by E.D. Solomentsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article