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math.NA2026
Interpolating between Tikhonov regularization and spectral cutoff
Martin Sæbye Carøe, Mirza KaramehmedoviÄ, 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…
math.NA2024
Estimates on the stability constant for the truncated Fourier transform
Mirza KaramehmedoviÄ, 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…