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

Francesco Tulone

Open Access

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

Francesco Tulone

| Nov 12, 2012

Tatra Mountains Mathematical Publications

Volume 44 (2009): Issue 1 (December 2009)

Real Function ’08 Functional Equation, Measures, Integration and Harmonic Analysis

About this article

Cite

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.

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.

ISSN:: 1210-3195
Language:: English

Publication timeframe:: 3 times per year
Journal Subjects:: Mathematics, General Mathematics

Journal RSS Feed

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.