Matematičeskie zametki, Tome 12 (1972) no. 4, pp. 349-354
Citer cet article
L. E. Dunduchenko. Schwartz's integral for a class of functions which are regular in a denumerable-connected circular $\delta$-region. Matematičeskie zametki, Tome 12 (1972) no. 4, pp. 349-354. http://geodesic.mathdoc.fr/item/MZM_1972_12_4_a0/
@article{MZM_1972_12_4_a0,
author = {L. E. Dunduchenko},
title = {Schwartz's integral for a class of functions which are regular in a denumerable-connected circular $\delta$-region},
journal = {Matemati\v{c}eskie zametki},
pages = {349--354},
year = {1972},
volume = {12},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1972_12_4_a0/}
}
TY - JOUR
AU - L. E. Dunduchenko
TI - Schwartz's integral for a class of functions which are regular in a denumerable-connected circular $\delta$-region
JO - Matematičeskie zametki
PY - 1972
SP - 349
EP - 354
VL - 12
IS - 4
UR - http://geodesic.mathdoc.fr/item/MZM_1972_12_4_a0/
LA - ru
ID - MZM_1972_12_4_a0
ER -
%0 Journal Article
%A L. E. Dunduchenko
%T Schwartz's integral for a class of functions which are regular in a denumerable-connected circular $\delta$-region
%J Matematičeskie zametki
%D 1972
%P 349-354
%V 12
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_1972_12_4_a0/
%G ru
%F MZM_1972_12_4_a0
We construct an expression which generalizes the familiar Schwartz expression to the case of a denumerable-connected circular $\delta$-region for which the centers of the boundary circles lie on a finite number of straight lines of the same bundle. Using this expression we can construct a regular and single-valued function of a sufficiently general form inside the region under consideration, from the values of its real part on the boundary of the region.
