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arXiv · 1801.10051

Continuity of the fractional Hankel wavelet transform on the spaces of type S

Kanailal Mahato
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Abstract

In this article we study the fractional Hankel transform and its inverse on certain Gel'fand-Shilov spaces of type S. The continuous fractional wavelet transform is defined involving the fractional Hankel transform. The continuity of fractional Hankel wavelet transform is discussed on Gel'fand-Shilov spaces of type S. This article goes further to discuss the continuity property of fractional Hankel transform and fractional Hankel wavelet transform on the ultradifferentiable function spaces.

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Kanailal Mahato. 2018-01-30. Continuity of the fractional Hankel wavelet transform on the spaces of type S. https://doi.org/10.1002/mma.5486

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