Generalized Hankel-Clifford transformation for a class of tempered ultradistributions

Abstract: Present paper aims at investigating a theory supporting generalized Hankel-Clifford transformation on certain spaces of generalized functions. In an attempt to extend the transform to a space of tempered ultradistributions; definitions of classes of rapid descent ultradifferentiable functions is provided. Mappings involving various differential operators are shown to be continuous. Keywords: Generalized Hankel-Clifford transformation, tempered ultradifferentiable functions, differential operator