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Integral Transforms and Special Functions Volume 22, 2011 - Issue 2
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Original Articles

Multidimensional Kontorovich–Lebedev transforms

Semyon Yakubovich Department of Mathematics, Faculty of Science, University of Porto, Campo Alegre str., 687, 4169-007, Porto, PortugalCorrespondence[email protected]
Pages 123-141 | Received 28 Mar 2010, Accepted 27 May 2010, Published online: 30 Jul 2010
 
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Abstract

Different approaches are used to introduce a direct product Kontorovich–Lebedev transformation, its essentially multidimensional analogue and certain modifications in terms of multiple integrals over ℝ n +. Mapping properties are investigated. Inversion formulas are proved.

AMS subject classification :

Acknowledgements

The present investigation was supported, in part, by the ‘Centro de Matemática’ of the University of Porto.

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