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Continuity of pseudo-differential operator<i>h</i><sub>μ,<i>a</i></sub>involving Hankel translation and Hankel convolution on some Gevrey spaces
The Pseudo-Differential Operator (p.d.o.) $h_{\mu,a}$ associated with the Bessel Operator involving the symbol $a(x,y)$ whose derivatives satisfy certain growth conditions depending on some increasing sequences is studied on certain Gevrey spaces. The p.d.o. $h_{\mu,a}$ on Hankel translation $\tau$ and Hankel convolution of Gevrey functions is continuous linear map into another …