Solutions of Tikhonov functional equations and applications to multiplication operators on Szegő spaces (Q520143)

Applying the theory of reproducing kernels to the approximate solutions of general bounded linear operator equations and the Hilbert-Schmidt property, the authors provide a natural representation of solutions for Tikhonov functional equations. They also investigate generalized fractional functions formed by the quotient of Bergman functions by Szegő functions through the consideration of the multiplication operators on the Szegő spaces. They also analyze a completeness condition in the Szegő space and the injectivity of certain operator.