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totalization; Kurzweil-Henstock integral; primitive
In this paper a full totalization is presented of the Kurzweil-Henstock integral in the multidimensional space. A residual function of the total Kurzweil-Henstock primitive is defined.
[1] Bartle, R. G.: A Modern Theory of Integration. Graduate Studies in Math., Vol. 32, American Mathematical Society (AMS), Providence (2001). DOI 10.1090/gsm/032/07 | MR 1817647 | Zbl 0968.26001
[2] Cabral, E., Lee, P.-Y.: A fundamental theorem of calculus for the Kurzweil-Henstock integral in $\mathbb{R}^{m}$. Real Anal. Exch. 26 (2001), 867-876. MR 1844400
[3] Cabral, E., Lee, P.-Y.: The primitive of a Kurzweil-Henstock integrable function in multidimensional space. Real Anal. Exch. 27 (2002), 627-634. MR 1922673 | Zbl 1069.26013
[4] Gordon, R. A.: The Integrals of Lebesgue, Denjoy, Perron and Henstock. Graduate Studies in Mathematics, Vol. 4, American Mathematical Society (AMS), Providence (1994). MR 1288751 | Zbl 0807.26004
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