Skvortsov, Valentin; Tulone, Francesco Representation of quasi-measure by Henstock-Kurzweil type integral on a compact zero-dimensional metric space. (English) Zbl 1179.26031 Georgian Math. J. 16, No. 3, 575-582 (2009). Summary: 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 \(X\). Cited in 2 ReviewsCited in 3 Documents MSC: 26A39 Denjoy and Perron integrals, other special integrals 28C99 Set functions and measures on spaces with additional structure 43A32 Other transforms and operators of Fourier type Keywords:Henstock-Kurzweil integral; derivation basis; compact zero-dimensional metric space; quasi-measure PDFBibTeX XMLCite \textit{V. Skvortsov} and \textit{F. Tulone}, Georgian Math. J. 16, No. 3, 575--582 (2009; Zbl 1179.26031)