Search results for "Quasi measure"

showing 2 items of 2 documents

Henstock type integral in compact zero-dimensional metric space and quasi-measures representations

2012

Properties of a Henstock type integral defined on a compact zero-dimensional metric space are studied. Theorems on integral representation of so-called quasi-measures, i.e., linear functionals on the space of “polynomials” defined on the space of the above mentioned type, are obtained.

Metric spaceIntegral representationSettore MAT/05 - Analisi MatematicaGeneral MathematicsInjective metric spaceMathematical analysisZero (complex analysis)Pseudometric spaceType (model theory)Space (mathematics)MathematicsHestock type integral quasi measure
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Representation of quasi-measure by a Henstock-Kurzweil type integral on a compact zero-dimensional metric space

2009

A derivation basis is introduced in a compact zero-dimensional metric space X. A Henstock-Kurzweil type integral with respect to this basis is defined and used to represent the so-called quasi-measure on X.

Settore MAT/05 - Analisi MatematicaQuasi measure Henstock-Kurzweil integral compact metric space
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