76 citations · 458 across the 35 of their papers we have counts for
39 papers
Phase recovery from phaseless scattering data for discrete Schrödinger operators
Roman Novikov, Basant Lal Sharma
We consider scattering for the discrete Schrödinger operator on the square lattice , , with compactly supported potential. We give formulas for finding the p…
Numerical reconstruction from the Fourier transform on the ball using prolate spheroidal wave functions
Mikhail Isaev, Roman G. Novikov, Grigory V. Sabinin
We implement numerically formulas of [Isaev, Novikov, arXiv:2107.07882] for finding a compactly supported function on , , from its Fourier transform $\ma…
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 on , , from its Fourier transform given within the ball . For the on…
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 on with a super-exponential decay at infinity from its Fourier…
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 on from its Fourier transform $\m…
Creation and annihilation of point-potentials using Moutard-type transform in spectral variable
P. G. Grinevich, R. G. Novikov
We continue to develop the method for creation and annihilation of contour singularities in the --spectral data for the two-dimensional Schrödinger equation at fixed…