Theory of nonselfadjoing and nonunitari operanors. Models represetations of systems operators.
Main publications:
Zolotarev V.A., Analiticheskie metody modelnykh predstavlenii nesamosopryazhennykh i neunitarnykh operatorov., Kharkov, 2003
Zolotarev V.A., “Funktsionalnye modeli kommutativnykh sistem lineinykh operatorov i prostranstva de Branzha na rimanovykh poverkhnostyakh”, Matematicheskii sbornik, 200:3 (2009), 31–48
R. Hatamleh, V. A. Zolotarev, “On the abstract inverse scattering problem for trace class perturbations”, Zh. Mat. Fiz. Anal. Geom., 13:1 (2017), 3–34
2015
2.
R. Hatamleh, V. A. Zolotarev, “On Model Representations of Non-Selfadjoint Operators with Infinitely Dimensional Imaginary Component”, Zh. Mat. Fiz. Anal. Geom., 11:2 (2015), 174–186
V. A. Zolotarev, “On a Certain Class of Commuting Systems of Linear Operators”, Funktsional. Anal. i Prilozhen., 46:4 (2012), 86–90; Funct. Anal. Appl., 46:4 (2012), 308–312
R. Hatamleh, V. A. Zolotarev, “On the universal models of commutative systems of linear operators”, Zh. Mat. Fiz. Anal. Geom., 8:3 (2012), 248–259
6.
V. A. Zolotarev, “Direct and inverse problems for an operator with nonlocal potential”, Mat. Sb., 203:12 (2012), 105–128; Sb. Math., 203:12 (2012), 1785–1807
V. A. Zolotarev, “Properties of characteristic function of commutative system of unbounded nonselfadjoint operators”, Zh. Mat. Fiz. Anal. Geom., 6:2 (2010), 192–228
V. A. Zolotarev, “Model representations for systems of selfadjoint operators satisfying commutation relations”, Mat. Sb., 201:10 (2010), 59–92; Sb. Math., 201:10 (2010), 1461–1493
V. A. Zolotarev, “Functional models for commutative systems of linear operators and de Branges spaces on a Riemann surface”, Mat. Sb., 200:3 (2009), 31–48; Sb. Math., 200:3 (2009), 339–356
V. A. Zolotarev, “Scattering scheme with many parameters and translational models of commutative operator systems”, Zh. Mat. Fiz. Anal. Geom., 3:4 (2007), 424–447
V. A. Zolotarev, “Functional model of bounded operator”, Mat. Fiz. Anal. Geom., 8:2 (2001), 158–174
1995
18.
V. A. Zolotarev, “A functional model for the Lie algebra $\operatorname{ISO}(1,1)$ of linear non-self-adjoint operators”, Mat. Sb., 186:1 (1995), 79–106; Sb. Math., 186:1 (1995), 79–106
V. A. Zolotarev, “The Lax–Phillips scattering scheme on groups, and a functional model of a Lie algebra”, Mat. Sb., 183:5 (1992), 115–144; Russian Acad. Sci. Sb. Math., 76:1 (1993), 99–122
V. A. Zolotarev, “Model representations of commutative systems of linear operators”, Funktsional. Anal. i Prilozhen., 22:1 (1988), 66–68; Funct. Anal. Appl., 22:1 (1988), 55–57
V. K. Dubovoi, V. A. Zolotarev, A. A. Yantsevich, A. G. Rutkas, “Mikhail Samuilovich Livshits (04.07.1917–30.03.2007)”, Zh. Mat. Fiz. Anal. Geom., 3:4 (2007), 490–495