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Integral transforms characterized by convolution

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Publication:6408346

DOI10.1007/S00025-023-01897-4arXiv2208.09654MaRDI QIDQ6408346

Author name not available (Why is that?)

Publication date: 20 August 2022

Abstract: Inspired by Jaming's characterization of the Fourier transform on specific groups via the convolution property, we provide a novel approach which characterizes the Fourier transform on any locally compact abelian group. In particular, our characterization encompasses Jaming's results. Furthermore, we demonstrate that the cosine transform as well as the Laplace transform can also be characterized via a suitable convolution property.





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