76 citations · 458 across the 35 of their papers we have counts for
6 papers · 1 filter
Moutard transform approach to generalized analytic functions with contour poles
P. G. Grinevich, R. G. Novikov
We continue studies of Moutard-type transforms for the generalized analytic functions started in arXiv:1510.08764, arXiv:1512.00343. In particular, we show that generalized analyti…
Generalized analytic functions, Moutard-type transforms and holomorphic maps
P. G. Grinevich, R. G. Novikov
We continue the studies of Moutard-type transform for generalized analytic functions started in our previous paper: arXiv:1510.08764. In particular, we suggest an interpretation of…
Moutard transform for the generalized analytic functions
P. G. Grinevich, R. G. Novikov
We construct a Moutard-type transform for the generalized analytic functions. The first theorems and the first explicit examples in this connection are given.
A global Riemann-Hilbert problem for two-dimensional inverse scattering at fixed energy
Evgeny L. Lakshtanov, Roman G. Novikov, Boris R. Vainberg
We develop the Riemann-Hilbert problem approach to inverse scattering for the two-dimensional Schrodinger equation at fixed energy. We obtain global or generic versions of the key…
Phaseless inverse scattering in the one-dimensional case
Roman Novikov
We consider the one-dimensional Schrödinger equation with a potential satisfying the standard assumptions of the inverse scattering theory and supported on the half-line .…
Formulas for phase recovering from phaseless scattering data at fixed frequency
Roman Novikov
We consider quantum and acoustic wave propagation at fixed frequency for compactly supported scatterers in dimension . In these framework we give explicit formulas for phas…