Recovery of analytic functions that is exact on subspaces of entire functions (Q6582286)

The problem of finding recovery methods that optimal for given functional class which are at the same time exact on a fixed subspace was proposed in [\textit{G. G. Magaril-Il'yaev} and \textit{K. Yu. Osipenko}, Proc. Steklov Inst. Math. 293, 194--208 (2016; Zbl 1357.49096)]. The author applies this approach to find a family of recovery methods for analytic functions in a strip and their derivatives from inaccurately specified trace of the Fourier transforms of these functions on the real axis. At the same time, the found methods are exact on some subspaces of entire functions.