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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb., 2024 Volume 215, Number 3, Pages 100–118 (Mi sm9976)

Recovery of analytic functions that is exact on subspaces of entire functions

K. Yu. Osipenkoab

a Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia
b Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow, Russia

Abstract: A family of optimal recovery methods is developed for the recovery of analytic functions in a strip and their derivatives from inaccurately specified trace of the Fourier transforms of these functions on the real axis. In addition, the methods must be exact on some subspaces of entire functions.
Bibliography: 12 titles.

Keywords: Hardy classes, optimal recovery, Fourier transform, entire functions.

MSC: Primary 41A46; Secondary 42B30, 46E35

Received: 01.07.2023 and 02.12.2023

DOI: 10.4213/sm9976


 English version:
Sbornik: Mathematics, 2024, 215:3, 383–400

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© Steklov Math. Inst. of RAS, 2024