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Kurzweil-Henstock type integral on zero-dimensional group and some of its applications

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Abstract

A Kurzweil-Henstock type integral on a zero-dimensional abelian group is used to recover by generalized Fourier formulas the coefficients of the series with respect to the characters of such groups, in the compact case, and to obtain an inversion formula for multiplicative integral transforms, in the locally compact case.

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Author information

Authors and Affiliations

  1. Department of Math., Moscow State University, Moscow, 119 992, Russia

    Valentin Skvortsov

  2. Institute of Mathematics, Casimirus the Great University, pl. Weyssenhoffa 11, 85-079, Bydgoszcz, Poland

    Valentin Skvortsov

  3. Dipartimento di Matematica ed Applicazioni, Università degli Studi di Palermo, via Archirafi 34, 901 23, Palermo, Italy

    Francesco Tulone

Authors
  1. Valentin Skvortsov
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  2. Francesco Tulone
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Correspondence to Valentin Skvortsov.

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Supported by RFFI-08-01-00669.

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Skvortsov, V., Tulone, F. Kurzweil-Henstock type integral on zero-dimensional group and some of its applications. Czech Math J 58, 1167–1183 (2008). https://doi.org/10.1007/s10587-008-0077-9

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  • DOI: https://doi.org/10.1007/s10587-008-0077-9

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