Superharmonic Function

superharmonic function

[¦sü·pər·här′män·ik ′fəŋk·shən]
(mathematics)
A continuous complex function ƒ whose value at a point z0 exceeds its average values computed by the integral of ƒ around a circle centered at z0.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

Superharmonic Function

 

a function f(x1, x2,...,xn) that satisfies in some domain the inequality

(see).

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.
References in periodicals archive ?
(ii) Let h be a positive superharmonic function in D.
Let [Mathematical Expression Omitted] denote the regularized reduced function (or balayage) of a positive superharmonic function s on [R.sup.n] relative to a set S.