×

Representation of quasi-measure by Henstock-Kurzweil type integral on a compact zero-dimensional metric space. (English) Zbl 1179.26031

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 \(X\).

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
PDFBibTeX XMLCite