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Matematicheskie Zametki, 2007, Volume 81, Issue 4, Pages 553–560
DOI: https://doi.org/10.4213/mzm3698
(Mi mzm3698)
 

This article is cited in 8 scientific papers (total in 8 papers)

Minimization of the Uncertainty Constant of the Family of Meyer Wavelets

E. A. Lebedeva

Kursk State University
Full-text PDF (394 kB) Citations (8)
References:
Abstract: We obtain a simplified expression for the uncertainty constant of a Meyer wavelet. Using this expression, we find the lower bound of the uncertainty constant and construct the Ritz minimizing sequence.
Keywords: Meyer wavelet, Ritz minimizing sequence, uncertainty constant, spline, Fourier transform, Cauchy–Bunyakovskii inequality, Heisenberg uncertainty principle.
Received: 23.09.2005
Revised: 28.04.2006
English version:
Mathematical Notes, 2007, Volume 81, Issue 4, Pages 489–495
DOI: https://doi.org/10.1134/S0001434607030261
Bibliographic databases:
UDC: 517.98
Language: Russian
Citation: E. A. Lebedeva, “Minimization of the Uncertainty Constant of the Family of Meyer Wavelets”, Mat. Zametki, 81:4 (2007), 553–560; Math. Notes, 81:4 (2007), 489–495
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/mzm3698
  • https://doi.org/10.4213/mzm3698
  • https://www.mathnet.ru/eng/mzm/v81/i4/p553
  • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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    References:47
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