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

  • Real and Complex Analysis
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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 H 1(R).

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Authors and Affiliations

  1. Yerevan State University, Yerevan, Armenia

    G. G. Gevorkyan & K. A. Keryan

Authors
  1. G. G. Gevorkyan
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  2. K. A. Keryan
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Corresponding author

Correspondence to G. G. Gevorkyan.

Additional information

Original Russian Text © G. G. Gevorkyan, K. A. Keryan, 2016, published in Izvestiya NAN Armenii. Matematika, 2016, No. 2, pp. 3-16.

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Gevorkyan, G.G., Keryan, K.A. On a system of piecewise linear functions with vanishing integrals on R . J. Contemp. Mathemat. Anal. 51, 68–78 (2016). https://doi.org/10.3103/S1068362316020035

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  • DOI: https://doi.org/10.3103/S1068362316020035

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