<abstract xmlns="http://www.w3.org/1999/xhtml"><p> Denjoy and <italic>P</italic>-path Kurzweil-Henstock type integrals are defined on compact subsets of some locally compact zero-dimensional abelian groups. Those integrals are applied to obtain an inversion formula for the multiplicative integral transform.</p></abstract>

Denjoy and P-path Kurzweil-Henstock type integrals are defined on compact subsets of some locally compact zero-dimensional abelian groups. Those integrals are applied to obtain an inversion formula for the multiplicative integral transform.

Denjoy and P-path integrals on compact groups in an inversion formula for multiplicative transforms

Department of Mathematics University of Palermo via Archirafi 34 I–90123 Palermo ITALY

Tatra Mountains Mathematical Publications

Denjoy and P-path Kurzweil-Henstock type integrals are defined on compact subsets of some locally compact zero-dimensional abelian groups. Those integrals are...

Denjoy and P-path integrals on compact groups in an inversion formula for multiplicative transforms

Published Online: Nov 12, 2012

Page range: 27 - 37

DOI: https://doi.org/10.2478/v10127-009-0003-z

Keywords
locally compact zero-dimensional abelian group, characters of a group, Denjoy integral, Kurzweil-Henstock P-path integral, multiplicative integral transform, inversion formula.

This content is open access.

Denjoy and P-path integrals on compact groups in an inversion formula for multiplicative transforms

Published Online: Nov 12, 2012

Page range: 27 - 37

DOI: https://doi.org/10.2478/v10127-009-0003-z

Keywordslocally compact zero-dimensional abelian group, characters of a group, Denjoy integral, Kurzweil-Henstock P-path integral, multiplicative integral transform, inversion formula.

This content is open access.

Keywords
locally compact zero-dimensional abelian group, characters of a group, Denjoy integral, Kurzweil-Henstock P-path integral, multiplicative integral transform, inversion formula.