Novikov Roman Gennadievich

Publications in Math-Net.Ru

1. A Holographic Uniqueness Theorem
   
   Trudy Mat. Inst. Steklova, 325 (2024),  232–237
2. Spectral inequality for Schrödinger's equation with multipoint potential
   
   Uspekhi Mat. Nauk, 77:6(468) (2022),  69–76
3. Transmission eigenvalues for multipoint scatterers
   
   Eurasian Journal of Mathematical and Computer Applications, 9:4 (2021),  17–25
4. Multipoint formulae for inverse scattering at high energies
   
   Uspekhi Mat. Nauk, 76:4(460) (2021),  177–178
5. Error estimates for phase recovering from phaseless scattering data
   
   Eurasian Journal of Mathematical and Computer Applications, 8:1 (2020),  44–61
6. Creation and annihilation of point-potentials using Moutard-type transform in spectral variable
   
   J. Math. Phys., 61 (2020), 93501, 7 pp.
7. Examples of solution of the inverse scattering problem and the equations of the Novikov–Veselov hierarchy from the scattering data of point potentials
   
   Uspekhi Mat. Nauk, 74:3(447) (2019),  3–16
8. Inverse scattering for the Bethe–Peierls model
   
   Eurasian Journal of Mathematical and Computer Applications, 6:1 (2018),  52–55
9. Distortions in IR spectra related to registration conditions: II. The influence of scattering
   
   Optics and Spectroscopy, 124:5 (2018),  623–627
10. Darboux–Moutard transformations and Poincaré–Steklov operators
    
    Trudy Mat. Inst. Steklova, 302 (2018),  334–342
11. Multipoint scatterers with bound states at zero energy
    
    TMF, 193:2 (2017),  309–314
12. An analog of Chang inversion formula for weighted Radon transforms in multidimensions
    
    Eurasian Journal of Mathematical and Computer Applications, 4:2 (2016),  23–32
13. Generalized Analytic Functions, Moutard-Type Transforms, and Holomorphic Maps
    
    Funktsional. Anal. i Prilozhen., 50:2 (2016),  81–84
14. Moutard type transformation for matrix generalized analytic functions and gauge transformations
    
    Uspekhi Mat. Nauk, 71:5(431) (2016),  179–180
15. Phaseless inverse scattering in the one dimensional case
    
    Eurasian Journal of Mathematical and Computer Applications, 3:1 (2015),  64–70
16. An iterative approach to non-overdetermined inverse scattering at fixed energy
    
    Mat. Sb., 206:1 (2015),  131–146
17. Two-Dimensional von Neumann–Wigner Potentials with a Multiple Positive Eigenvalue
    
    Funktsional. Anal. i Prilozhen., 48:4 (2014),  74–77
18. Weighted Radon transforms and first order differential systems on the plane
    
    Mosc. Math. J., 14:4 (2014),  807–823
19. Stability estimates for recovering the potential by the impedance boundary map
    
    Algebra i Analiz, 25:1 (2013),  37–63
20. Faddeev eigenfunctions for moltipoint potentials
    
    Eurasian Journal of Mathematical and Computer Applications, 1:2 (2013),  76–91
21. Reconstruction of a potential from the impedance boundary map
    
    Eurasian Journal of Mathematical and Computer Applications, 1:1 (2013),  5–28
22. The Moutard transformation and two-dimensional multipoint delta-type potentials
    
    Uspekhi Mat. Nauk, 68:5(413) (2013),  181–182
23. Weighted Radon transforms for which Chang's approximate inversion formula is exact
    
    Uspekhi Mat. Nauk, 66:2(398) (2011),  237–238
24. The Cauchy kernel for the Novikov–Dynnikov DN-discrete complex analysis in triangular lattices
    
    Uspekhi Mat. Nauk, 62:4(376) (2007),  155–156
25. Approximate Inverse Quantum Scattering at Fixed Energy in Dimension 2
    
    Trudy Mat. Inst. Steklova, 225 (1999),  301–318
26. Yang–Mills fields, the Radon–Penrose transform and the Cauchy–Riemann equations
    
    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 54 (1989),  113–196
27. Multidimensional inverse spectral problem for the equation $-\Delta\psi+(v(x)-Eu(x))\psi=0$
    
    Funktsional. Anal. i Prilozhen., 22:4 (1988),  11–22
28. Solution of a multidimensional inverse scattering problem on the basis of generalized dispersion relations
    
    Dokl. Akad. Nauk SSSR, 292:4 (1987),  814–818
29. The $\bar\partial$-equation in the multidimensional inverse scattering problem
    
    Uspekhi Mat. Nauk, 42:3(255) (1987),  93–152
30. Analogues of multisoliton potentials for the two-dimensional Schrödinger operator, and a nonlocal Riemann problem
    
    Dokl. Akad. Nauk SSSR, 286:1 (1986),  19–22
31. Reconstruction of a two-dimensional Schrödinger operator from the scattering amplitude for fixed energy
    
    Funktsional. Anal. i Prilozhen., 20:3 (1986),  90–91
32. Construction of two-dimensional Schrödinger operator with given scattering amplitude at fixed energy
    
    TMF, 66:2 (1986),  234–240
33. Analogs of multisoliton potentials for the two-dimensional Schrödinger operator
    
    Funktsional. Anal. i Prilozhen., 19:4 (1985),  32–42
34. Oscillating weakly localized solutions of the Korteweg–de Vries equation
    
    TMF, 61:2 (1984),  199–213


35. Iskander Asanovich Taimanov (on his 60th birthday)
    
    Uspekhi Mat. Nauk, 77:6(468) (2022),  209–218
36. Boris Rufimovich Vainberg (on his 80th birthday)
    
    Uspekhi Mat. Nauk, 74:1(445) (2019),  189–194
37. Gennadi Markovich Henkin (obituary)
    
    Uspekhi Mat. Nauk, 72:3(435) (2017),  170–190