6533b821fe1ef96bd127baa4
RESEARCH PRODUCT
Kurzweil-Henstock type integral on zero-dimensional group and some of its application
Francesco TuloneValentin A. Skvortsovsubject
Abelian integralGeneral MathematicsMathematical analysisMathematics::Classical Analysis and ODEsElementary abelian groupSingular integralLocally compact groupKurzweil-Henstock type integral zero-dimensional groupVolume integralSettore MAT/05 - Analisi MatematicaImproper integralNoncommutative harmonic analysisDaniell integralMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2008-12-01 |