Article Subject
Mathematics
Abstract

In this paper we give a completion for the distributional theory of Hankel type transformation developed in [6] and [8]. The space Hw Image removed. generalizing the Altenburg space HImage removed.  is defined. Some properties of this space are studied. It is shown that the Hankel type transformation hα,βImage removed.  is an automorphism of  HwImage removed.  . The generalized Hankel type transform of Gevrey spaces is defined and it is found that Hankel transform is an automorphism of Hw'Image removed. .  Product on Hw,Image removed.  Hankel type translation and Hankel type convolution on HwImage removed.  are investigated.

Keywords
Hankel type transform
Hankel type translation
Hankel type convolution
Gevrey spaces..
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