L. Päivärinta

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 $H ρ = e$ on a half-axis, where $H$ is the one-sided Hilbert transform, $ρ$ …

math.AP2015

Detecting anisotropic inclusions through EIT

Jan Cristina, Lassi Päivärinta

We study the evolution equation $\partial_{t} u = - Λ_{t} u$ where $Λ_{t}$ is the Dirichlet-Neumann operator of a decreasing family of Riemannian manifolds with boundary $Σ_{t}$ . We de…