A radial version of the Kontorovich-Lebedev transform in the unit ball

Semyon B. Yakubovich; Nelson Vieira

doi:10.7494/OpMath.2011.31.1.137

Opuscula Mathematica (Jan 2011)

A radial version of the Kontorovich-Lebedev transform in the unit ball

Semyon B. Yakubovich,
Nelson Vieira

Affiliations

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

DOI: https://doi.org/10.7494/OpMath.2011.31.1.137
Journal volume & issue: Vol. 31, no. 1
pp. 137 – 146

Abstract

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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 \(L_p\)

Published in Opuscula Mathematica

ISSN: 1232-9274 (Print); 2300-6919 (Online)
Publisher: AGH Univeristy of Science and Technology Press
Country of publisher: Poland
LCC subjects: Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
Website: http://www.opuscula.agh.edu.pl/

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