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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

References

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  • Hai , N. T. , Yakubovich , S. B. and Wimp , J. 1992 . Multidimensional Watson transforms . Internat. J. Math. Statist. Sci. , 1 : 105 – 119 .
  • Yakubovich , S. B. and Luchko , Yu. F. 1994 . The Hypergeometric Approach to Integral Transforms and Convolutions , Dordrecht, Boston, London : Kluwer . (Kluwer Series in Mathematics and Applications, vol. 287)
  • Yakubovich , S. B. 1996 . Index Transforms , Singapore, New Jersey, London and Hong Kong : World Scientific .
  • Yakubovich , S. B. 2003 . Convolution Hilbert spaces associated with the Kontorovich–Lebedev transformation . Thai J. Math. , 1 ( 2 ) : 9 – 16 .
  • Yakubovich , S. B. 2005 . Lp -Boundedness of general index transforms . Lithuanian Math. J. , 45 ( 1 ) : 102 – 122 .

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