Recovery of analytic functions that is exact on subspaces of entire functions
Sbornik. Mathematics, Tome 215 (2024) no. 3, pp. 383-400
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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, entire functions.
Mots-clés : Fourier transform
Mots-clés : Fourier transform
@article{SM_2024_215_3_a5,
author = {K. Yu. Osipenko},
title = {Recovery of analytic functions that is exact on subspaces of entire functions},
journal = {Sbornik. Mathematics},
pages = {383--400},
publisher = {mathdoc},
volume = {215},
number = {3},
year = {2024},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_2024_215_3_a5/}
}
K. Yu. Osipenko. Recovery of analytic functions that is exact on subspaces of entire functions. Sbornik. Mathematics, Tome 215 (2024) no. 3, pp. 383-400. http://geodesic.mathdoc.fr/item/SM_2024_215_3_a5/