On a system of piecewise linear functions with vanishing integrals on R


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Abstract

For an admissible sequence T we define an orthonormal system consisting of piecewise linear functions with vanishing integrals on R. Necessary and sufficient conditions on T are found for the corresponding system to be a basis in H1(R).

About the authors

G. G. Gevorkyan

Yerevan State University

Author for correspondence.
Email: ggg@ysu.am
Armenia, Yerevan

K. A. Keryan

Yerevan State University

Email: ggg@ysu.am
Armenia, Yerevan

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