Opuscula Mathematica
Opuscula Math. 31, no. 1 (2011), 137-146

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.
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About the authors ▼
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
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Received: 2010-08-23.
Accepted: 2010-09-30.
Cite this article as ▼
Semyon B. Yakubovich, Nelson Vieira, A radial version of the Kontorovich-Lebedev transform in the unit ball, Opuscula Math. 31, no. 1 (2011), 137-146, http://dx.doi.org/10.7494/OpMath.2011.31.1.137.
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