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Статья
2019

Fourier-Type Series with Integer Coefficients in Systems of Contractions and Shifts of a Single Function in Spaces Lp, p ≥ 1


V. I. FilippovV. I. Filippov
Русская математика
https://doi.org/10.3103/S1066369X19060069
Abstract / Full Text

We consider systems of functions obtained from contractions and shifts of a single function in spaces Lp(0, 1), 1 ≤ p < ∞. We obtained the results on Fourier-type series with integer coefficients with respect to the mentioned systems. The approximation of elements of spaces Lp(0, 1), 1 ≤ p < ∞, leads to the image compression, i.e., many coefficients vanish. Results of this paper also may be of interest for experts in digital information processing and transfer.

Author information
  • Saratov Social-Economic Institute of Plekhanov Russian University of Economics, 89 Radishcheva str., Saratov, 410003, RussiaV. I. Filippov
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