Sufficient Condition for a Change of Variable in Generalized $Q$-integration
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 1, pp. 43-46.

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A sufficient condition for a change of variable in generalized $Q$-integration in one-dimensional case is proved.
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M. P. Efimova. Sufficient Condition for a Change of Variable in Generalized $Q$-integration. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 1, pp. 43-46. http://geodesic.mathdoc.fr/item/ISU_2013_13_1_a9/

[1] Titchmarsh E. C., “On conjugate functions”, Proc. London Math Soc., 29 (1929), 49–80 | DOI | MR

[2] Ul'yanov P. L., “Certain Questions of $A$-Integration”, Sov. Phys. Dokl., 102:6 (1955), 1077–-1080 | MR | Zbl

[3] Ul'yanov P. L., “The $A$-Integral and its Application in the Theory of Trigonometric Series”, UMN, 10:1 (1955), 189–191 | MR | Zbl

[4] Ul'yanov P. L., “The $A$-Integral and Conjugate Functions”, Uchen. Zap. Mosk. Gos. Univ., VIII:181 (1956), 139–157 | MR

[5] Lukashenko T. P., “On the $A$-Integrability of Functions”, Vestn. Mosk. Gos. Univ. Ser. 1. Matem. Mekh., 1982, no. 6, 59–63 | MR | Zbl

[6] Bari N. K., Trigonometric Series, Fizmatgiz, Moscow, 1961, 936 pp. | MR

[7] Efimova M. P., “On the Properties of the $Q$-Integral”, Math. Notes, 90:3 (2011), 322–-332 | DOI | DOI | MR | Zbl

[8] D'yachenko M. I., Ul'yanov P. L., Measure and the Integral, Faktorial, Moscow, 1998, 160 pp.

[9] Bondi I. L., “The Change of Variable in the $A$-Integral”, Uchen. Zap. Mosk. Gos. Ped. Inst., 1962, no. 188, 3–21

[10] Kolmogorov A. N., Fomin S. V., Elements of the Theory of Functions and Functional Analysis, Dover Publications, Mineola, New York, 1999 | MR | Zbl