2 citations · 3 across the 11 of their papers we have counts for
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Interpolating between Tikhonov regularization and spectral cutoff
Martin Sæbye Carøe, Mirza Karamehmedović, Pierre Maréchal
Regularizing a linear ill-posed operator equation can be achieved by manipulating the spectrum of the operator's pseudo-inverse. Tikhonov regularization and spectral cutoff are wel…
Estimates on the stability constant for the truncated Fourier transform
Mirza Karamehmedović, Martin Sæbye Carøe, Faouzi Triki
In this paper we are interested in the inverse problem of recovering a compact supported function from its truncated Fourier transform. We derive new Lipschitz stability estimates…
On the series solutions of integral equations in scattering
Mirza Karamehmedović, Faouzi Triki
We study the validity of the Neumann or Born series approach in solving the Helmholtz equation and coefficient identification in related inverse scattering problems. Precisely, we…