Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XIII, Tome 135 (1984), pp. 51-65
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A. O. Derviz; V. P. Havin. Free interpolation and Dirichlet problem. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XIII, Tome 135 (1984), pp. 51-65. http://geodesic.mathdoc.fr/item/ZNSL_1984_135_a3/
@article{ZNSL_1984_135_a3,
author = {A. O. Derviz and V. P. Havin},
title = {Free interpolation and {Dirichlet} problem},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {51--65},
year = {1984},
volume = {135},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1984_135_a3/}
}
TY - JOUR
AU - A. O. Derviz
AU - V. P. Havin
TI - Free interpolation and Dirichlet problem
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1984
SP - 51
EP - 65
VL - 135
UR - http://geodesic.mathdoc.fr/item/ZNSL_1984_135_a3/
LA - ru
ID - ZNSL_1984_135_a3
ER -
%0 Journal Article
%A A. O. Derviz
%A V. P. Havin
%T Free interpolation and Dirichlet problem
%J Zapiski Nauchnykh Seminarov POMI
%D 1984
%P 51-65
%V 135
%U http://geodesic.mathdoc.fr/item/ZNSL_1984_135_a3/
%G ru
%F ZNSL_1984_135_a3
A compact subset $K$ of the closed upper half-plane $\mathbb C_+\cup\mathbb R$ is called a Dirichlet set if every function continuous on $K$ is the restriction of a function continuous in $\mathbb C_+\cup\mathbb R$ and harmonic in $\mathbb C_+$. A description of Dirichlet sets is given.
