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.
Skvortsov, V., Tulone, F. (2008). Kurzweil-Henstock type integral on zero-dimensional group and some of its application. CZECHOSLOVAK MATHEMATICAL JOURNAL, 2008, 1167-1183 [10.1007/s10587-008-0077-9].
Kurzweil-Henstock type integral on zero-dimensional group and some of its application
TULONE, Francesco
2008-01-01
Abstract
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.
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