<abstract xmlns="http://www.w3.org/1999/xhtml"><p> Generalized inversion formulae for multiplicative integral transform with a kernel defined by characters of a locally compact zero-dimensional abelian group are obtained using a Kurzweil-Henstock type integral.</p></abstract>

Generalized inversion formulae for multiplicative integral transform with a kernel defined by characters of a locally compact zero-dimensional abelian group are obtained using a Kurzweil-Henstock type integral.

Inversion formulae for the integral transform on a locally compact zero-dimensional group

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

Tatra Mountains Mathematical Publications

Generalized inversion formulae for multiplicative integral transform with a kernel defined by characters of a locally compact zero-dimensional abelian group...

Inversion formulae for the integral transform on a locally compact zero-dimensional group

Published Online: Nov 12, 2012

Page range: 53 - 63

DOI: https://doi.org/10.2478/v10127-009-0047-0

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

This content is open access.

Inversion formulae for the integral transform on a locally compact zero-dimensional group

Published Online: Nov 12, 2012

Page range: 53 - 63

DOI: https://doi.org/10.2478/v10127-009-0047-0

Keywordslocally compact zero-dimensional abelian group, characters of a group, Kurzweil-Henstock integral, Fourier series, multiplicative integral transform, inversion formula.

This content is open access.

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