Geodesic
Kurzweil-Henstock type integral on zero-dimensional group and some of its applications
Czechoslovak Mathematical Journal, Tome 58 (2008) no. 4, pp. 1167-1183.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

A Kurzweil-Henstock type integral on a zero-dimensional abelian group is used to recover by generalized Fourier formulas the coefficients of the series with respect to the characters of such groups, in the compact case, and to obtain an inversion formula for multiplicative integral transforms, in the locally compact case.
Classification : 26A39, 42C10, 43A25
Keywords: Kurzweil-Henstock integral; derivation basis; locally compact zero-dimensional abelian group; characters of a group; multiplicative integral transform; inversion formula. 
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     title = {Kurzweil-Henstock type integral on zero-dimensional group and some of its applications},
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Skvortsov, Valentin; Tulone, Francesco. Kurzweil-Henstock type integral on zero-dimensional group and some of its applications. Czechoslovak Mathematical Journal, Tome 58 (2008) no. 4, pp. 1167-1183. http://geodesic.mathdoc.fr/item/CMJ_2008__58_4_a21/