M. Isaev

activity

20102021

most citedExponential instability in the inverse scattering problem on the energy interval

1 citations · 1 across the 2 of their papers we have counts for

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math.CA2021

Reconstruction from the Fourier transform on the ball via prolate spheroidal wave functions

Mikhail Isaev, Roman G. Novikov

We give new formulas for finding a compactly supported function $v$ on $R^{d}$ , $d \geq 1$ , from its Fourier transform $F v$ given within the ball $B_{r}$ . For the on…

math.CA2020

Stability estimates for reconstruction from the Fourier transform on the ball

Mikhail Isaev, Roman G. Novikov

We prove Hölder-logarithmic stability estimates for the problem of finding an integrable function $v$ on $R^{d}$ with a super-exponential decay at infinity from its Fourier…

math.CA2020

Hölder-logarithmic stability in Fourier synthesis

Mikhail Isaev, Roman G. Novikov

We prove a Hölder-logarithmic stability estimate for the problem of finding a sufficiently regular compactly supported function $v$ on $R^{d}$ from its Fourier transform $\m…