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Uniqueness Theorems for Generalized Haar Systems

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Abstract

A uniqueness theorem and a recovery theorem for the coefficients of series in generalized Haar systems are proved under the assumption that the series converge in measure and satisfy a certain necessary condition on the distribution function of the majorant of partial sums.

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Authors and Affiliations

  1. Yerevan State University, Yerevan, 375025, Armenia

    G. G. Gevorkyan & K. A. Navasardyan

Authors
  1. G. G. Gevorkyan
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  2. K. A. Navasardyan
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Correspondence to G. G. Gevorkyan.

Additional information

Original Russian Text © G.G. Gevorkyan, K.A. Navasardyan, 2018, published in Matematicheskie Zametki, 2018, Vol. 104, No. 1, pp. 11–24.

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Gevorkyan, G.G., Navasardyan, K.A. Uniqueness Theorems for Generalized Haar Systems. Math Notes 104, 10–21 (2018). https://doi.org/10.1134/S0001434618070027

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  • DOI: https://doi.org/10.1134/S0001434618070027

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