Geodesic
Integration of Functions Ranging in Complex Riesz Space and Some Applications in Harmonic Analysis
Matematičeskie zametki, Tome 98 (2015) no. 1, pp. 12-26

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The theory of Henstock–Kurzweil integral is generalized to the case of functions ranging in complex Riesz space $R$ and defined on any zero-dimensional compact Abelian group. The constructed integral is used to solve the problem of recovering the $R$-valued coefficients of series in systems of characters of these groups by using generalized Fourier formulas.
Keywords: complex Riesz space, zero-dimensional compact Abelian group, group characters, Henstock–Kurzweil integral. 
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     author = {A. Bokkuto and V. A. Skvortsov and F. Tulone},
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A. Bokkuto; V. A. Skvortsov; F. Tulone. Integration of Functions Ranging in Complex Riesz Space and Some Applications in Harmonic Analysis. Matematičeskie zametki, Tome 98 (2015) no. 1, pp. 12-26. http://geodesic.mathdoc.fr/item/MZM_2015_98_1_a1/