TY - JOUR ID - Yakubovich2011 LB - Yakubovich2011 AU - Yakubovich, Semyon B. AU - Vieira, Nelson TI - A radial version of the Kontorovich-Lebedev transform in the unit ball ST - A radial version of the Kontorovich-Lebedev transform in the unit ball JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2011 VL - 31 IS - 1 SP - 137 EP - 146 DO - http://dx.doi.org/10.7494/OpMath.2011.31.1.137 UR - http://dx.doi.org/10.7494/OpMath.2011.31.1.137 AB - 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 \(L_p\) KW - Kontorovich-Lebedev transform KW - modified Bessel function KW - index transforms KW - Fourier integrals SN - 1232-9274 ER -