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arXiv · 1009.4060

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

Akhilesh Prasad·Manish Kumar
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Abstract

The Pseudo-Differential Operator (p.d.o.) $h_{μ,a}$ 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. $h_{μ,a}$ on Hankel translation $τ$ and Hankel convolution of Gevrey functions is continuous linear map into another Gevrey spaces.

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BibTeXRIS

Akhilesh Prasad, Manish Kumar. 2010-09-21. Continuity of Pseudo-Differential Operator $h_{μ,a}$ Involving Hankel Translation and Hankel Convolution on Some Gevrey Spaces. https://doi.org/10.1080/10652460903371256

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