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RESEARCH PRODUCT

Representation of Quasi-Measure by Henstock–Kurzweil Type Integral on a Compact-Zero Dimensional Metric Space

Valentin A. SkvortsovFrancesco Tulone

subject

Metric spaceHenstock–Kurzweil integralGeneral MathematicsInjective metric spaceMathematical analysisMetric (mathematics)Measure (physics)Pseudometric spaceType (model theory)MathematicsConvex metric space

description

Abstract 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.

https://doi.org/10.1515/gmj.2009.575