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References:
[1] C.-A. Faure, J. Mawhin: The Hake’s property for some integrals over multidimensional intervals. Preprint (1994). MR 1348084
[2] J. Jarník, J. Kurzweil: Pfeffer integrability does not imply $\text{M}_{1}$-integrability. Czech. Math. J. 44 (1994), 47–56. MR 1257935
[3] J. Jarník, J. Kurzweil, S. Schwabik: On Mawhin’s approach to multiple nonabsolutely convergent integral. Casopis Pest. Mat. 108 (1983), 356–380. MR 0727536
[4] W. B. Jurkat, R. W. Knizia: A characterization of multi-dimensional Perron integrals and the fundamental theorem. Can. J. Math. 43 (1991), 526–539. DOI 10.4153/CJM-1991-032-8 | MR 1118008
[5] W. B. Jurkat, R. W. Knizia: Generalized absolutely continuous interval functions and multi-dimensional Perron integration. Analysis 12 (1992), 303–313. DOI 10.1524/anly.1992.12.34.303 | MR 1182631
[6] J. Kurzweil, J. Jarník: Equiintegrability and controlled convergence of Perron-type integrable functions. Real Anal. Exchange 17 (1991–92), 110–139. MR 1147361
[7] J. Kurzweil, J. Jarník: Differentiability and integrability in $n$ dimensions with respect to $\alpha $-regular intervals. Results Math. 21 (1992), 138–151. DOI 10.1007/BF03323075 | MR 1146639
[8] J. Kurzweil, J. Jarník: Equivalent definitions of regular generalized Perron integral. Czech. Math. J. 42 (1992), 365–378. MR 1179506
[9] J. Mawhin: Generalized multiple Perron integrals and the Green-Goursat theorem for differentiable vector fields. Czech. Math. J. 31 (1981), 614–632. MR 0631606 | Zbl 0562.26004
[10] J. Mawhin: Analyse. De Boeck, 1992. MR 1190926 | Zbl 0759.26004
[11] D. J. F. Nonnenmacher: Every $\text{M}_{1}$-integrable function is Pfeffer integrable. Czech. Math. J. 43 (1993), 327–330. MR 1211754
[12] D. J. F. Nonnenmacher: A descriptive, additive modification of Mawhin’s integral and the divergence theorem with singularities. Preprint (1993). MR 1270304
[13] W. F. Pfeffer: A Riemann-type integration and the fundamental theorem of calculus. Rend. Circ. Mat. Palermo, Ser. II 36 (1987), 482–506. DOI 10.1007/BF02844902 | MR 0981151 | Zbl 0669.26007
[14] W. F. Pfeffer: The divergence theorem. Trans. Amer. Math. Soc. 295 (1986), 665–685. DOI 10.1090/S0002-9947-1986-0833702-0 | MR 0833702 | Zbl 0596.26007
[15] S. Saks: Theory of the Integral. Hafner Publishing Company, 1937. Zbl 0017.30004
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