RUS  ENG
Full version
JOURNALS // Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry] // Archive

Mat. Fiz. Anal. Geom., 2005 Volume 12, Number 2, Pages 148–157 (Mi jmag179)

This article is cited in 1 paper

Bases from eigenfunctions subsets of two discontinuous differential operators

S. G. Veliev

Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, Baku

Abstract: 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 $L_2$).

MSC: 47E05

Received: 10.10.2004



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024