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Matematicheskie Zametki, 2008, Volume 84, Issue 5, Pages 732–740
DOI: https://doi.org/10.4213/mzm4002 (Mi mzm4002) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Meyer Wavelets with Least Uncertainty Constant

E. A. Lebedevaa, V. Yu. Protasovb

a Kursk State University
b M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (538 kB) Citations (9)
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DOI: https://doi.org/10.4213/mzm4002
Abstract: In the present paper, we construct a system of Meyer wavelets with least possible uncertainty constant. The uncertainty constant minimization problem is reduced to a convex variational problem whose solution satisfies a second-order nonlinear differential equation. Solving this equation numerically, we obtain the desired system of wavelets.
Keywords: Meyer wavelet, uncertainty constant, variational problem, second-order nonlinear differential equation, Sobolev space, Fourier transform.
Received: 28.08.2007
English version:
Mathematical Notes, 2008, Volume 84, Issue 5, Pages 680–687
DOI: https://doi.org/10.1134/S0001434608110096
Bibliographic databases:
UDC: 517.518.36+517.972.9
Language: Russian
Citation: E. A. Lebedeva, V. Yu. Protasov, “Meyer Wavelets with Least Uncertainty Constant”, Mat. Zametki, 84:5 (2008), 732–740; Math. Notes, 84:5 (2008), 680–687
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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