Search

Functions in weighted Hardy spaces over the right half-plane with exponential weight are considered. The equivalence of conditions that describe the growth of a function on the imaginary axis to those describing its decrease on the real semiaxis is established. Keywords. Hardy space, factorization, angular boundary values., 1. Introduction By [H.sup.p] ([C.sub.+]), 0 < p < +[infinity], we denote a Hardy space in the half-plane [C.sub.+] = {z: Re z > 0}, i.e., the space of functions [...]

We consider the analogue of the classic Wiener filtering theory to a half-strip of complex domain. In this paper all test signal obtained that solving the filter identification problem for the Hardy spaces in a half-strip. This result can be used for the investigations of electrical, optical, acoustical signals. [ABSTRACT FROM AUTHOR]