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19 April 2024

» arxiv » 1604.5551

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A Characterisation of the Euclidean Fourier transform on the Schwartz space
R. Lakshmi Lavanya ;
Date:	19 Apr 2016
Abstract:	We obtain a characterisation of the Fourier transform on the space of Schwartz class functions on $mathbb{R}^n.$ The result states that any appropriately additive bijection of the Schwartz space onto itself, which interchanges convolution and pointwise products is essentially the Fourier transform.
Source:	arXiv, 1604.5551
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