<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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 the characters of such a group.</p></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 the characters of such a group.

Kurzweil-Henstock type integral in fourier analysis on compact zero-dimensional group

Institute of Mathematics Casimirus the Great University pl. Weyssenhoffa 11 PL–85-072 Bydgoszcz POLAND

Department of Mathematics Moscow State University RU–119991 Moscow RUSSIA

Dipartimento di Matematica ed Applicazioni Universit`a di Palermo via Archirafi 34 IT–90123 Palermo ITALY

Tatra Mountains Mathematical Publications

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...

Kurzweil-Henstock type integral in fourier analysis on compact zero-dimensional group

Publié en ligne: 12 nov. 2012

Pages: 41 - 51

DOI: https://doi.org/10.2478/v10127-009-0046-1

Mots clés
compact zero-dimensional abelian group, characters of a group, Kurzweil-Henstock integral, Perron integral, Fourier series, coefficient problem

This content is open access.

Kurzweil-Henstock type integral in fourier analysis on compact zero-dimensional group

Publié en ligne: 12 nov. 2012

Pages: 41 - 51

DOI: https://doi.org/10.2478/v10127-009-0046-1

Mots cléscompact zero-dimensional abelian group, characters of a group, Kurzweil-Henstock integral, Perron integral, Fourier series, coefficient problem

This content is open access.

Mots clés
compact zero-dimensional abelian group, characters of a group, Kurzweil-Henstock integral, Perron integral, Fourier series, coefficient problem