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