Continuity of Pseudo-Differential Operator $h_{μ,a}$ Involving Hankel Translation and Hankel Convolution on Some Gevrey Spaces

Details Continuity of Pseudo-Differential Operator $h_{μ,a}$ Involving Hankel Translation and Hankel Convolution on Some Gevrey Spaces Continuity of Pseudo-Differential Operator $h_{μ,a}$ Involving Hankel Translation and Hankel Convolution on Some Gevrey Spaces

2010-09-21

arxiv.org/abs/1009.4060v1

Published in Integral Transforms and Special Functions, Volume 21, Issue 6 June 2010 , pages 465 - 477

Mathematics

Functional Analysis

Scientific paper

10.1080/10652460903371256

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 Gevrey spaces.

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