6533b7d2fe1ef96bd125eb0e

RESEARCH PRODUCT

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

Valentin A. SkvortsovValentin A. SkvortsovFrancesco TuloneFrancesco Tulone

subject

Metric spaceIntegral representationSettore MAT/05 - Analisi MatematicaGeneral MathematicsInjective metric spaceMathematical analysisZero (complex analysis)Pseudometric spaceType (model theory)Space (mathematics)MathematicsHestock type integral quasi measure

description

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.

10.3103/s0027132212020039http://hdl.handle.net/10447/63121