-distance sets, Falconer conjecture, and discrete analogs.
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Iosevich, A., Łaba, I. (2005)
Integers
Josef Nagel (1983)
Monatshefte für Mathematik
Jan-Olov Strömberg, Richard Wheeden (1986)
Studia Mathematica
Holger Boche (1997)
Acta Mathematica et Informatica Universitatis Ostraviensis
Axel Reich (1977)
Mathematische Annalen
Valentin Skvortsov, Francesco Tulone (2008)
Czechoslovak Mathematical Journal
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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