Kurzweil-Henstock type integral in Fourier analysis on compact zero-dimensional group
- Authors: Skvortsov, V; Tulone, F
- Publication year: 2009
- Type: Articolo in rivista (Articolo in rivista)
- Key words: Compact zero-dimensional group, characters of group, Kurzweil-Hestock integral, Perrron integral, Fourier series, coefficient problem.
- OA Link: http://hdl.handle.net/10447/47507
Abstract
A Kurzweil-Henstock type integral defined 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 coefficients of convergent series with respect to charactes of such a group.