Opuscula Math. 31, no. 1 (2011), 137-146
http://dx.doi.org/10.7494/OpMath.2011.31.1.137
Opuscula Mathematica
A radial version of the Kontorovich-Lebedev transform in the unit ball
Semyon B. Yakubovich
Nelson Vieira
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 \(L_p\)
Keywords: Kontorovich-Lebedev transform, modified Bessel function, index transforms, Fourier integrals.
Mathematics Subject Classification: 44A15, 33C10, 42A38.
- Semyon B. Yakubovich
- University of Porto, Faculty of Sciences, Department of Pure Mathematics, Rua do Campo Alegre st., 687, 4169-007 Porto, Portugal
- Nelson Vieira
- University of Porto, Faculty of Sciences, Department of Pure Mathematics, Rua do Campo Alegre st., 687, 4169-007 Porto, Portugal
- Received: 2010-08-23.
- Accepted: 2010-09-30.
