Matematičeskie zametki, Tome 22 (1977) no. 3, pp. 339-344
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N. K. Karapetyants; S. G. Samko. Discrete convolution operators with almost-stabilized coefficients. Matematičeskie zametki, Tome 22 (1977) no. 3, pp. 339-344. http://geodesic.mathdoc.fr/item/MZM_1977_22_3_a2/
@article{MZM_1977_22_3_a2,
author = {N. K. Karapetyants and S. G. Samko},
title = {Discrete convolution operators with almost-stabilized coefficients},
journal = {Matemati\v{c}eskie zametki},
pages = {339--344},
year = {1977},
volume = {22},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1977_22_3_a2/}
}
TY - JOUR
AU - N. K. Karapetyants
AU - S. G. Samko
TI - Discrete convolution operators with almost-stabilized coefficients
JO - Matematičeskie zametki
PY - 1977
SP - 339
EP - 344
VL - 22
IS - 3
UR - http://geodesic.mathdoc.fr/item/MZM_1977_22_3_a2/
LA - ru
ID - MZM_1977_22_3_a2
ER -
%0 Journal Article
%A N. K. Karapetyants
%A S. G. Samko
%T Discrete convolution operators with almost-stabilized coefficients
%J Matematičeskie zametki
%D 1977
%P 339-344
%V 22
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1977_22_3_a2/
%G ru
%F MZM_1977_22_3_a2
For a convolution operator of the form $K=\sum_j=0^{N-1}P_jA_j$, where $A_j$ are discrete Wiener—Hopf operators and $P_j$ are coordinate projections whose indices are congruent to $j$ modulo $N$, necessary and sufficient conditions for it to be Nötherian in $L_{p+}$ ($1\le p\le\infty$), $c_+^0$ and formulas for the index are obtained.
