Application of Simonenko--Kozak's local principe in the section method theory of solving convolution equations with operator coefficients
Vladikavkazskij matematičeskij žurnal, Tome 18 (2016) no. 2, pp. 55-66
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In this work we generalize the Simonenko–Kozak's local structure to algebras generated by multidimensional operators with compact coefficients. Then we apply this local structure to receive the criteria of applicability the method of solving equations for multidimensional convolution operators with compact coefficients.
@article{VMJ_2016_18_2_a6,
author = {A. V. Lukin},
title = {Application of {Simonenko--Kozak's} local principe in the section method theory of solving convolution equations with operator coefficients},
journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
pages = {55--66},
publisher = {mathdoc},
volume = {18},
number = {2},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMJ_2016_18_2_a6/}
}
TY - JOUR AU - A. V. Lukin TI - Application of Simonenko--Kozak's local principe in the section method theory of solving convolution equations with operator coefficients JO - Vladikavkazskij matematičeskij žurnal PY - 2016 SP - 55 EP - 66 VL - 18 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VMJ_2016_18_2_a6/ LA - ru ID - VMJ_2016_18_2_a6 ER -
%0 Journal Article %A A. V. Lukin %T Application of Simonenko--Kozak's local principe in the section method theory of solving convolution equations with operator coefficients %J Vladikavkazskij matematičeskij žurnal %D 2016 %P 55-66 %V 18 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/VMJ_2016_18_2_a6/ %G ru %F VMJ_2016_18_2_a6
A. V. Lukin. Application of Simonenko--Kozak's local principe in the section method theory of solving convolution equations with operator coefficients. Vladikavkazskij matematičeskij žurnal, Tome 18 (2016) no. 2, pp. 55-66. http://geodesic.mathdoc.fr/item/VMJ_2016_18_2_a6/