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A generalized Hankel convolution. (English) Zbl 0592.46038

A Hankel-convolution operation is defined in the classical sense of Hirschman and Cholewinski. In this paper, the author extends this definition to a class of generalized functions analogous to that introduced by Zemanian. Algebraic properties of the convolution are examined and existence and significance of an identity element are also discussed.
Reviewer: V.L.Deshpande

MSC:

46F12 Integral transforms in distribution spaces
44A35 Convolution as an integral transform
44A15 Special integral transforms (Legendre, Hilbert, etc.)
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