Geodesic
Integration of Banach-valued functions and Haar series with Banach-valued coefficients
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2017), pp. 25-32

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It is proved that for any Banach space each everywhere convergent Haar series with coefficients from this space is the Fourier–Haar series in the sense of a Henstock type integral with respect to dyadic derivation basis. At the same time convergence of Fourier–Henstock–Haar series Banach-space-valued functions is essentially dependent on properties of a space. 
@article{VMUMM_2017_1_a3,
     author = {V. A. Skvortsov},
     title = {Integration of {Banach-valued} functions and {Haar} series with {Banach-valued} coefficients},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {25--32},
     publisher = {mathdoc},
     number = {1},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2017_1_a3/}
}
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V. A. Skvortsov. Integration of Banach-valued functions and Haar series with Banach-valued coefficients. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2017), pp. 25-32. http://geodesic.mathdoc.fr/item/VMUMM_2017_1_a3/