Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 12 (2005) no. 2, pp. 148-157
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S. G. Veliev. Bases from eigenfunctions subsets of two discontinuous differential operators. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 12 (2005) no. 2, pp. 148-157. http://geodesic.mathdoc.fr/item/JMAG_2005_12_2_a1/
@article{JMAG_2005_12_2_a1,
author = {S. G. Veliev},
title = {Bases from eigenfunctions subsets of two discontinuous differential operators},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {148--157},
year = {2005},
volume = {12},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JMAG_2005_12_2_a1/}
}
TY - JOUR
AU - S. G. Veliev
TI - Bases from eigenfunctions subsets of two discontinuous differential operators
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 2005
SP - 148
EP - 157
VL - 12
IS - 2
UR - http://geodesic.mathdoc.fr/item/JMAG_2005_12_2_a1/
LA - ru
ID - JMAG_2005_12_2_a1
ER -
%0 Journal Article
%A S. G. Veliev
%T Bases from eigenfunctions subsets of two discontinuous differential operators
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 2005
%P 148-157
%V 12
%N 2
%U http://geodesic.mathdoc.fr/item/JMAG_2005_12_2_a1/
%G ru
%F JMAG_2005_12_2_a1
The work is devoted to the study of basic properties of exponent systems with the degenerate coefficients, special types of which are the combination of eigenfunctions subsets of two discontinuous differential operators. Necessary and sufficient condition of completeness and minimality was assigned, and under certain conditions on the coefficients the basis property of these systems in $L_p$ was proved (Riss basis in $L_2$).
