Matematičeskie zametki, Tome 14 (1973) no. 6, pp. 799-807
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Yu. S. Fridlyand. An irremovable Carleman singularity for Haar's system. Matematičeskie zametki, Tome 14 (1973) no. 6, pp. 799-807. http://geodesic.mathdoc.fr/item/MZM_1973_14_6_a3/
@article{MZM_1973_14_6_a3,
author = {Yu. S. Fridlyand},
title = {An irremovable {Carleman} singularity for {Haar's} system},
journal = {Matemati\v{c}eskie zametki},
pages = {799--807},
year = {1973},
volume = {14},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1973_14_6_a3/}
}
TY - JOUR
AU - Yu. S. Fridlyand
TI - An irremovable Carleman singularity for Haar's system
JO - Matematičeskie zametki
PY - 1973
SP - 799
EP - 807
VL - 14
IS - 6
UR - http://geodesic.mathdoc.fr/item/MZM_1973_14_6_a3/
LA - ru
ID - MZM_1973_14_6_a3
ER -
%0 Journal Article
%A Yu. S. Fridlyand
%T An irremovable Carleman singularity for Haar's system
%J Matematičeskie zametki
%D 1973
%P 799-807
%V 14
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_1973_14_6_a3/
%G ru
%F MZM_1973_14_6_a3
An example is constructed of a continuous function $f(x)$ that has the property that any function in $L_{(01)}^2$ that coincides with $f(x)$ on a set of positive measure realizes a Carleman singularity for Haar's system.
