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Perron type integral on compact zero-dimensional Abelian groups

2008

Perron and Henstock type integrals defined directly on a compact zero-dimensional Abelian group are studied. It is proved that the considered Perron type integral defined by continuous majorants and minorants is equivalent to the integral defined in the same way, but without assumption on continuity of majorants and minorants.

AlgebraPure mathematicsPerron type integral compact zero-dimensional groupSettore MAT/05 - Analisi MatematicaGeneral MathematicsAdditive functionZero (complex analysis)Elementary abelian groupType (model theory)Abelian groupMathematics
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