Henstock type integral on a compact null-dimension metric space and representation of a quasi-measure / V. A. Skvortsov, F. . Tulone. //Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2012. № 2. P. 11-17 [Moscow Univ. Math. Bulletin. Vol. 67, N 2, 2012.].
Properties of a Henstock type integral defined on a compact zero-dimensional metric space are studied. Theorems on integral representation of the so-called quasi-measures, i.e., linear functionals on the space of "polynomials" defined on the space of the above mentioned type are obtained.
Key words: Henstock-Kurzweil integral, zero-dimensional metric space, derivation basis, quasi-measure, integral representation of linear functionals.