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Henstock type integral in harmonic analysis on zero-dimensional groups |
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| Authors: | V.A. Skvortsov F. Tulone |
| Affiliation: | a Department of Mathematics, Moscow State University, Moscow 119899, Russia b Instytut Matematyki, Akademia Bydgoska, 85-065 Bydgoszcz, Poland c Department of Mathematics and Applications, University of Palermo, Via Archirafi 34, 90123 Palermo, Italy |
| 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. |
| Keywords: | Locally compact zero-dimensional abelian group Characters of a group Henstock integral Henstock-Fourier series Multiplicative integral transform Inversion formula |
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