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Inversion formulae for the integral transform on a locally compact zero-dimensional group

2009

Abstract Generalized inversion formulae for multiplicative integral transform with a kernel defined by characters of a locally compact zero-dimensional abelian group are obtained using a Kurzweil-Henstock type integral.

Locally compact zero-dimensional abelian group characters of a group Kurzweil-Henstock integral Fourier series multiplicative integral transform inversion formulaSettore MAT/05 - Analisi MatematicaGeneral MathematicsMultiplicative functionMathematical analysisMathematics::Classical Analysis and ODEsLocally compact spaceAbelian groupLocally compact groupIntegral transformInversion (discrete mathematics)MathematicsTatra Mountains Mathematical Publications
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