Functional analysis, Teoplitz and Wiener–Hopf operatots and determinants, orthogonal polynomials.
Main publications:
Orthogonal polynomials on the unit circle with respect to a rational weight function. Operator Theory: Advances and Applications, Vol.–63, pp.–249–256, 2006.
On Wiener–Hopf truncated operators with Fisher–Hartwig type singular symbols. Journal of Contemporary Mathematical Analysis, vol.–38, No.–6, pp.–14–25, 2003.
Inversion of Wiener–Hopf truncated operators and prediction error for continuous time ARMA processes. Journal of Contemporary Mathematical Analysis, v.–38, no.–2, pp.–14–25, 2003 (with Ginovyan–M.).
On periodicity sums of periodic functions. Matematichskoe obrazovanie, no.–2(13), pp.–29–33, 2000 (with Sedrakyan–N.–M.).
The screening of a potential of charged centres by quasitwodemensional electrons in transerse electic field. Applied Surface Science, v.–162–163, pp.–346–353, 2000 (with G.–Aghababyan, V.–Aroutiounian, S.–G.–Petrosyan).
The continual analogue of the Fisher–Hartvig conjecture on Teoplitz determinants. Pitman Research Notes in Mathematics, Series 257, pp.–145–149, Longman (1991).
The asymptotic behaviour of the determinants of truncated truncated Wiener–Hopf operators in a–singular case. Dokl. Akad. Nauk Arm.SSR., v.–82, no.–4, pp.–151–155 (1986).
The matrix continual analogue of G.–Szegö's theorems on Töplitz determinants. Izv. Akad. Nauk Arm.SSR, Ser. Math., v.–17, no.–4, p.–239–263 (1982).
The asymptotic behaviour of Fredgholm's determinants of truncated integral operators with matrix kernels depending on deferens of arguments. Dokl. Akad. Nauk Arm.SSR, v.–68, no.–3, p.–137–145 (1979).
The analogue of Cristoffel's formula for orthogonal polynomials on the unit circle. Dokl. Akad. Nauk Arm.SSR, v.–67, no.–5, pp.–257–263 (1978).
On multidimensional continual analogue of a–theorem of G.–Szegö. Izv. Akad. Nauk Arm.SSR, Ser. Math., v.–11, no.–3, pp.–275–286 (1976).
