Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 21, Tome 206 (1993), pp. 5-14
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V. A. Bart; V. P. Havin. Weighted approximation for trigonometric sums and the Carleman–Krylov–Golusin formula. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 21, Tome 206 (1993), pp. 5-14. http://geodesic.mathdoc.fr/item/ZNSL_1993_206_a0/
@article{ZNSL_1993_206_a0,
author = {V. A. Bart and V. P. Havin},
title = {Weighted approximation for trigonometric sums and the {Carleman{\textendash}Krylov{\textendash}Golusin} formula},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {5--14},
year = {1993},
volume = {206},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1993_206_a0/}
}
TY - JOUR
AU - V. A. Bart
AU - V. P. Havin
TI - Weighted approximation for trigonometric sums and the Carleman–Krylov–Golusin formula
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1993
SP - 5
EP - 14
VL - 206
UR - http://geodesic.mathdoc.fr/item/ZNSL_1993_206_a0/
LA - ru
ID - ZNSL_1993_206_a0
ER -
%0 Journal Article
%A V. A. Bart
%A V. P. Havin
%T Weighted approximation for trigonometric sums and the Carleman–Krylov–Golusin formula
%J Zapiski Nauchnykh Seminarov POMI
%D 1993
%P 5-14
%V 206
%U http://geodesic.mathdoc.fr/item/ZNSL_1993_206_a0/
%G ru
%F ZNSL_1993_206_a0
An explicit formula is given yielding linear combinations of harmonics with negative frequencies approximating a prescribed harmonic with a positive frequency in a weighted space $L^2(h)$. The formula is based on the interpolation Carleman–Krylov–Golusin formula. Bibliography: 11 titles.
