Generality of Henstock-Kurzweil type integral on a compact zero-dimensional metric space

[1] BOGACHEV, V. I.: Foundations of Measure Theory, Vol. 2. Regular and Chaotic Dynamics, Moscow-Izhevsk, 2003. (In Russian)Search in Google Scholar

[2] GONG, Z. T.: On a problem of Skvortsov involving Perron integral, Real Anal. Exchange 17 (1991/92), 748-750.10.2307/44153766Search in Google Scholar

[3] LEE, P. Y.-V´YBORN´Y, R.: The Integral: An Easy Approach after Kurzweil and Henstock , in: Austral. Math. Soc. Lect. Ser., Vol. 14, Cambridge University Press, Cambrige, 2000.Search in Google Scholar

[4] LUKASHENKO, T. P.-SKVORTSOV, V. A.-SOLODOV, A. P.: Generalized Integrals. URSS, Moscow, 2009.Search in Google Scholar

[5] OSTASZEWSKI, K. M.: Henstock integration in the plane, Mem. Amer. Math. Soc. 253 (1986), 1-106.Search in Google Scholar

[6] SAKS, S.: Theory of the Integral. Dover, New York, 1964.Search in Google Scholar

[7] SKVORTSOV, V. A.-TULONE, F.: On the Perron-type integral on a compact zero- -dimensional abelian group, Vestnik Moskov. Gos. Univ. Ser. I Mat. Mekh. 72 (2008), 37-42; Engl. transl. in Moscow Univ. Math. Bull. 63 (2008), 119-124.Search in Google Scholar

[8] SKVORTSOV, V. A.-TULONE, F.: Representation of quasi-measure by Henstock-Kurzweil type integral on a compact zero-dimensional metric space, Georgian Math. J. 16 (2009), 575-582.10.1515/GMJ.2009.575Search in Google Scholar

[9] THOMSON, B. S.: Derivation bases on the real line, Real Anal. Exchange 8 (1982/83), 67-207 and 278-442.10.2307/44153415Search in Google Scholar