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

Francesco Tulone

Open Access

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

Francesco Tulone

| Nov 12, 2012

Tatra Mountains Mathematical Publications

Volume 42 (2009): Issue 1 (April 2009)

Real Function ‘07

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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 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.

ISSN:: 1210-3195
Language:: English

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

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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.