KURZWEIL-HENSTOCK TYPE INTEGRAL IN FOURIER ANALYSIS ON COMPACT ZERO-DIMENSIONAL GROUP

Valentin Skvortsov, Francesco Tulone

Abstract


A Kurzweil-Henstock type integral dened on a zero-dimensional
compact abelian group is studied and used to obtain a generalization of some results related to the problem of recovering, by generalized Fourier formulae, the coeffcients of convergent series with respect to the characters of such a group.

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DOI: https://doi.org/10.2478/tatra.v44i0.38