Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part VIII, Tome 73 (1977), pp. 7-15
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A. B. Aleksandrov. Discrete measures with compact nowhere dense support, orthogonal to rational functions. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part VIII, Tome 73 (1977), pp. 7-15. http://geodesic.mathdoc.fr/item/ZNSL_1977_73_a0/
@article{ZNSL_1977_73_a0,
author = {A. B. Aleksandrov},
title = {Discrete measures with compact nowhere dense support, orthogonal to rational functions},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {7--15},
year = {1977},
volume = {73},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1977_73_a0/}
}
TY - JOUR
AU - A. B. Aleksandrov
TI - Discrete measures with compact nowhere dense support, orthogonal to rational functions
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1977
SP - 7
EP - 15
VL - 73
UR - http://geodesic.mathdoc.fr/item/ZNSL_1977_73_a0/
LA - ru
ID - ZNSL_1977_73_a0
ER -
%0 Journal Article
%A A. B. Aleksandrov
%T Discrete measures with compact nowhere dense support, orthogonal to rational functions
%J Zapiski Nauchnykh Seminarov POMI
%D 1977
%P 7-15
%V 73
%U http://geodesic.mathdoc.fr/item/ZNSL_1977_73_a0/
%G ru
%F ZNSL_1977_73_a0
In this paper we prove the existence of nonzero measures of the sort mentioned in the title. In particular, we prove that any set whose closure contains interior points supports such a measure.
