On a class of unconditional bases in the weighted spaces of the entire functions whose order of growth is equal to 1/2 and on their applications

摘要

In this paper we construct special unconditional bases in the Hilbert space of entire functions whose order of growth is equal to 1/2 and whose type is normal. We show an application to the problem of free interpolation by entire functions from the considered spaces. Isomorphic images of such bases in the space L_2(p,σ) are applied to the investigation of Sturm-Liouville operator on the finite interval with non-classical boundary conditions.