Geodesic
Integration of Banach-valued functions and Haar series with Banach-valued coefficients
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2017), pp. 25-32 
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/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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