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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
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
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
Linking options:
https://www.mathnet.ru/eng/mzm3698https://doi.org/10.4213/mzm3698 https://www.mathnet.ru/eng/mzm/v81/i4/p553
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Abstract page: | 404 | Full-text PDF : | 204 | References: | 47 | First page: | 3 |
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