INTEGRAL EQUATIONS AND OPERATOR THEORY, cilt.42, sa.1, ss.1-21, 2002 (SCI-Expanded)
We solve Gleason's problem in the reproducing kernel Hilbert space with reproducing kernel 1/(1 - Sigma(1)(N) z(j)w(j)*). We define and study some finite-dimensional resolvent-invariant subspaces that generalize the finite-dimensional de Branges-Rovnyak spaces to the setting of the ball.