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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
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
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
Linking options:
https://www.mathnet.ru/eng/mzm4002https://doi.org/10.4213/mzm4002 https://www.mathnet.ru/eng/mzm/v84/i5/p732
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