Orthogonal polynomials.
Fourir series in orthogonal polynomials
Main publications:
Osilenker B.P., “Generalized nrace formula and asymptotics of the averaged Turan determinantfor polynomials orthogonal with a discrete Sobolev inner product”, Journal of Approximation Theory, 141 (2006), 70–97
F. Marcellan, B.P. Osilenker, and I.A. Rocha, “On Fourier series of a discrete Jacobi–Sobolev inner product”, Journal of Approximation Theory, 117 (2002), 1–22
Marcellan F., Osilenker B.P., Rocha I.A., “On Fourier series of Jacobi–Sobolev orthogonal polynomials”, Journal of Inequalities and Applications, 7:5 (2002), 673–699