Generalized Hankel-Clifford transformation of certain spaces of distributions (Q2764603)

In [\textit{S. P. Malgonde} and \textit{S. R. Bandewar}, Proc. Indian Acad. Sci., Math. Sci. 110, 293-304 (2000; Zbl 0964.46024)], a generalization of the so-called Hankel-Clifford integral transformation was extended to a class of generalized functions through a variant of the method of adjoints based on a Parseval equation of mixed type. In the present paper, such a transformation is extended to another class of generalized functions by means of the kernel method. The theory thus developed is applied to solve certain Cauchy problems for partial differential equations involving a generalized operator of Kepinski type.