Abstract
The idea of a uniformly A-integrable set of functions is introduced, and the problem of taking the limit under the integration sign is investigated.
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N. Bourbaki, Integration (Measure, Measure Integration) [Russian translation], Moscow (1967).
I. P. Natanson, The Theory of Functions of a Real Variable [in Russian], Moscow (1957).
Yu. S. Ochan, “Generalized integrals,” Matem. Sb.,28, 322–332 (1951).
I. L. Bondi, “A-integrability in the narrow sense,” Matem. Sb.,61, No. 2, 121–146 (1963).
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Translated from Matematicheskie Zametki, Vol. 9, No. 1, pp. 3–12, January, 1971.
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Afanas'eva, S.S. Limits of A-integrals taken under the integration sign. Mathematical Notes of the Academy of Sciences of the USSR 9, 3–8 (1971). https://doi.org/10.1007/BF01405041
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DOI: https://doi.org/10.1007/BF01405041