6533b7d9fe1ef96bd126b9e7

RESEARCH PRODUCT

Henstock type integral in harmonic analysis on zero-dimensional groups

Valentin A. SkvortsovFrancesco Tulone

subject

Henstock integralApplied MathematicsMathematical analysisLine integralRiemann integralRiemann–Stieltjes integralSingular integralLocally compact groupHenstock–Fourier seriesVolume integralsymbols.namesakeLocally compact zero-dimensional abelian groupImproper integralsymbolsCharacters of a groupInversion formulaDaniell integralMultiplicative integral transformAnalysisMathematics

description

AbstractA Henstock type integral is defined on compact subsets of a locally compact zero-dimensional abelian group. This integral is applied to obtain an inversion formula for the multiplicative integral transform.

yearjournalcountryeditionlanguage
2006-10-01Journal of Mathematical Analysis and Applications
10.1016/j.jmaa.2005.09.053http://dx.doi.org/10.1016/j.jmaa.2005.09.053