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

Valentin Skvortsov; Francesco Tulone

doi:10.2478/v10127-009-0046-1

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

Tatra Mountains Mathematical Publications

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

By: Valentin Skvortsov and Francesco Tulone

Open Access

|Nov 2012

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.

References

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Articles in this issue

DOI: https://doi.org/10.2478/v10127-009-0046-1 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195

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Language: English

Page range: 41 - 51

Published on: Nov 12, 2012

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

compact zero-dimensional abelian group,

characters of a group,

Kurzweil-Henstock integral,

Related subjects:

© 2012 Valentin Skvortsov, Francesco Tulone, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons License.

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