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Opuscula Mathematica 2011
A radial version of the Kontorovich-Lebedev transform in the unit ballKeywords: Kontorovich-Lebedev transform , modified Bessel function , index transforms , Fourier integrals Abstract: In this paper we introduce a radial version of the Kontorovich-Lebedev transform in the unit ball. Mapping properties and an inversion formula are proved in $L_p$
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