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Kurzweil-Henstock type integral in fourier analysis on compact zero-dimensional group
Valentin A. SkvortsovFrancesco Tulonesubject
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 seriesMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-12-01 | Tatra Mountains Mathematical Publications |