most citedThe Fourier, Hilbert and Mellin transforms on a half-line

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math.AP2023★ 2 cited

The Fourier, Hilbert and Mellin transforms on a half-line

Emilia L. K. Blåsten, Lassi Päivärinta, Sadia Sadique

We are interested in the singular behaviour at the origin of solutions to the equation on a half-axis, where is the one-sided Hilbert transform, …