функциональный анализ,
теория операторов,
нестандартные методы анализа
Основные публикации:
Emelʹyanov, E. Yu.; Kohler, U.; Räbiger, F.; Wolff, M. P. H., “Stability and almost periodicity of asymptotically dominated semigroups of positive operators”, Proc. Amer. Math. Soc., 129:9 (2001), 2633-2642
Eduard Yu. Emel'yanov, Manfred P. H. Wolff, “Positive operators on Banach spaces ordered by strongly normal cones. Positivity and its applications”, Positivity, 7 (2003), 3-22
Eduard Yu. Emel'yanov, Non-spectral asymptotic analysis of one-parameter operator semigroups., Operator Theory: Advances and Applications, 173, Birkhäuser Verlag, Basel, 2007
Aydın, A.; Emelyanov, E. Yu.; Erkurşun Özcan, N.; Marabeh, M. A. A., “Compact-like operators in lattice-normed spaces”, Indag. Math. (N.S.), 29:2 (2018), 633-656