Abstract
We present an algorithm for construction complete, orthogonal sequences special kind. This systems of functions depend on parameter and may be used for modeling of physical processes.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
K. Shaidukov, “About the completeness of trigonometric system,” Usp. Mat. Nauk 6, 143–153 (1953).
A. Barmenkov and J. Kazmin, “About the completeness of two systems of functions,” in Theory of Mappings, its Display and Applications, Collection of Scientific Works (Naukova Dumka, Kiev, 1982), p. 29–43 [in Russian].
A. Barmenkov, “About approximation properties of some systems of functions,” Cand. Sci. (Phys. Math.) Dissertation (Moscow, 1983).
I. Danyluk, Irregular Boundary Value Problems on the Plane (Nauka, Moscow, 1975) [in Russian].
I. Privalov, Boundary Properties of Analytic Functions (Gostekhizdat, Moscow, 1950) [in Russian].
Functional Analysis, Ed. by C. Krein (Nauka, Moscow, 1964) [in Russian].
Author information
Authors and Affiliations
Corresponding author
Additional information
(Submitted by A. M. Elizarov)
Rights and permissions
About this article
Cite this article
Barmenkov, A.N., Barmenkov, N.A. About Orthogonal Systems of One Kind of Functions. Lobachevskii J Math 39, 161–164 (2018). https://doi.org/10.1134/S1995080218020038
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1995080218020038