Vladikavkazskij matematičeskij žurnal, Tome 13 (2011) no. 4, pp. 3-17
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D. A. Abanina. Exponential-polynomial basis for null spaces of convolution operators in classes of ultradifferentiable functions. Vladikavkazskij matematičeskij žurnal, Tome 13 (2011) no. 4, pp. 3-17. http://geodesic.mathdoc.fr/item/VMJ_2011_13_4_a0/
@article{VMJ_2011_13_4_a0,
author = {D. A. Abanina},
title = {Exponential-polynomial basis for null spaces of convolution operators in classes of ultradifferentiable functions},
journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
pages = {3--17},
year = {2011},
volume = {13},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMJ_2011_13_4_a0/}
}
TY - JOUR
AU - D. A. Abanina
TI - Exponential-polynomial basis for null spaces of convolution operators in classes of ultradifferentiable functions
JO - Vladikavkazskij matematičeskij žurnal
PY - 2011
SP - 3
EP - 17
VL - 13
IS - 4
UR - http://geodesic.mathdoc.fr/item/VMJ_2011_13_4_a0/
LA - ru
ID - VMJ_2011_13_4_a0
ER -
%0 Journal Article
%A D. A. Abanina
%T Exponential-polynomial basis for null spaces of convolution operators in classes of ultradifferentiable functions
%J Vladikavkazskij matematičeskij žurnal
%D 2011
%P 3-17
%V 13
%N 4
%U http://geodesic.mathdoc.fr/item/VMJ_2011_13_4_a0/
%G ru
%F VMJ_2011_13_4_a0
We consider a homogeneous convolution equation in the Beurling class of ultradifferentiable functions of mean type on the interval. It is obtained that in the space of its solutions there is an exponential-polynomial basis.