Portugaliae Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
MATHEMATICA
Vol. 58, No. 2, pp. 139-158 (2001)

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On Some General Notions of Superior Limit, Inferior Limit and Value of a Distribution At a Point

J. Campos Ferreira

Departamento de Matemática, Instituto Superior Técnico
Av. Rovisco Pais, 1049-001 Lisboa -- PORTUGAL

Abstract: For distributions defined on open sets of $\R^{n}$, we define and study notions of superior limit, inferior limit, and a consequent concept of value at a point, that is more general than that introduced by S. Lojasiewicz and considered in various works of Mikusinski, Sebasti\ ao e Silva and the present author.

Keywords: Distributions; limsup; liminf; value (at a point).

Classification (MSC2000): 46F10.

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Electronic version published on: 9 Feb 2006. This page was last modified: 27 Nov 2007.

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