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

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DOI: http://dx.doi.org/10.7494/OpMath.2011.31.1.137 

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31-1-10.pdf (439.95 KB)

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2011

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Rights: CC BY 4.0
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Attribution 4.0 International (CC BY 4.0)

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artykuł

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Item type:Journal Issue,
Opuscula Mathematica
2011 - Vol. 31 - No. 1

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pp. 137-146

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Keywords

Kontorovich-Lebedev transform, modified Bessel function, index transforms, Fourier integrals

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 $L_p$.

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Access: otwarty dostęp
Rights: CC BY 4.0
Attribution 4.0 International

Attribution 4.0 International (CC BY 4.0)

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https://repo.agh.edu.pl/handle/AGH/50206

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