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Series with Integer Coefficients by Systems of Contractions and Shifts of One Function

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Abstract

In the spaces \(L_{p}(0,1)\), \(1\leq p<\infty\), we investigate the systems consisting of contractions and shifts of one function. We study Fourier type series expansions with integer coefficients by such systems. The resulting decompositions have the property of image compression, that is, many their coefficients vanish. This study may also be of interest to the specialists in transmission and processing of digital information.

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Authors and Affiliations

  1. Yuri Gagarin State Technical University of Saratov, 410054, Saratov, Russia

    V. I. Filippov

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  1. V. I. Filippov
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Correspondence to V. I. Filippov.

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(Submitted by F. G. Avkhadiev)

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Filippov, V.I. Series with Integer Coefficients by Systems of Contractions and Shifts of One Function. Lobachevskii J Math 41, 2143–2148 (2020). https://doi.org/10.1134/S1995080220110074

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  • DOI: https://doi.org/10.1134/S1995080220110074

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