Functional calculus.
Infinite dimensional Banach spaces.
Polynomials on Banach spaces.
Main publications:
Solomko A. V., Sharin S. V. Funkts³onalne chislennya nad banakhovimi prostorami v konus³ // Matematichn³ metodi ta f³ziko-mekhan³chn³ polya. Naukovii zhurnal. Lv³v. 2004. t. 47, # 4. S. 51–55.