Search results for "Compact zero-dimensional group"

showing 2 items of 2 documents

Perron type integral on compact zero-dimensional Abelian groups

2008

Perron and Henstock type integrals defined directly on a compact zero-dimensional Abelian group are studied. It is proved that the considered Perron type integral defined by continuous majorants and minorants is equivalent to the integral defined in the same way, but without assumption on continuity of majorants and minorants.

AlgebraPure mathematicsPerron type integral compact zero-dimensional groupSettore MAT/05 - Analisi MatematicaGeneral MathematicsAdditive functionZero (complex analysis)Elementary abelian groupType (model theory)Abelian groupMathematics
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Kurzweil-Henstock type integral in fourier analysis on compact zero-dimensional group

2009

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.

General MathematicsMathematical analysisMathematics::Classical Analysis and ODEsLocally compact groupFourier integral operatorsymbols.namesakeFourier transformSettore MAT/05 - Analisi MatematicaFourier analysisImproper integralsymbolsAbelian groupCompact zero-dimensional group characters of group Kurzweil-Hestock integral Perrron integral Fourier series coefficient problem.Fourier seriesConvergent seriesMathematicsTatra Mountains Mathematical Publications
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