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Basicity of a System of Exponents with a Piecewise Linear Phase in Variable Spaces

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Abstract

A system of exponents with a piecewise linear phase is considered in the paper. The criteria of basicity, completeness and minimality of this system in Lebesgue space of functions with variable summability exponent are established.

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Authors and Affiliations

  1. Department of Nonharmonic Analysis, Institute of Mathematics and Mechanics of NAS of Azerbaijan, Str. F. Agayev 9, AZ1141, Baku, Azerbaijan

    Bilal T. Bilalov

  2. Sumqait State University, Sumqait, Azerbaijan

    Zafar G. Guseynov

Authors
  1. Bilal T. Bilalov
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  2. Zafar G. Guseynov
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Correspondence to Bilal T. Bilalov.

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Bilalov, B.T., Guseynov, Z.G. Basicity of a System of Exponents with a Piecewise Linear Phase in Variable Spaces. Mediterr. J. Math. 9, 487–498 (2012). https://doi.org/10.1007/s00009-011-0135-7

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  • DOI: https://doi.org/10.1007/s00009-011-0135-7

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