Generalized convolutions for the Hankel transform and related integral operators
Copyright policy )Generalized convolutions for the Hankel transform and related integral operators
AbstractThe present research is devoted to some polyconvolutions generated by various integral transforms. For example, we study convolutions for the Hankel transform Hν [f ](x) with the following factorization properties: equation image Conditions for the existence of the constructed generalized convolutions are found.The results of this research are applied to construct and study integral transforms related to these polyconvolutions. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
- Yaroslav-the-Wise Novgorod State University Russian Federation
Convolution as an integral transform, Integral operators, integral equations, convolution, Watson theorem, Special integral transforms (Legendre, Hilbert, etc.), integral transforms, polyconvolutions
Convolution as an integral transform, Integral operators, integral equations, convolution, Watson theorem, Special integral transforms (Legendre, Hilbert, etc.), integral transforms, polyconvolutions
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