A Henstock type integral is defined on compact subsets of a locally compact zero-dimensional abelian group. This integral is applied to obtain an inversion formula for the multiplicative integral transform.
SKVORTSOV, V.A., TULONE, F. (2006). Henstock type integral in harmonic analysis on zero-dimensional groups. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 322, no.2, 621-628 [http://dx.doi.org/10.1016/j.jmaa.2005.09.053].
Henstock type integral in harmonic analysis on zero-dimensional groups.
TULONE, Francesco
2006-01-01
Abstract
A Henstock type integral is defined on compact subsets of a locally compact zero-dimensional abelian group. This integral is applied to obtain an inversion formula for the multiplicative integral transform.
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