Geodesic
Meyer Wavelets with Least Uncertainty Constant
Matematičeskie zametki, Tome 84 (2008) no. 5, pp. 732-740

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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
Mots-clés : Fourier transform. 
@article{MZM_2008_84_5_a8,
     author = {E. A. Lebedeva and V. Yu. Protasov},
     title = {Meyer {Wavelets} with {Least} {Uncertainty} {Constant}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {732--740},
     publisher = {mathdoc},
     volume = {84},
     number = {5},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2008_84_5_a8/}
}
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E. A. Lebedeva; V. Yu. Protasov. Meyer Wavelets with Least Uncertainty Constant. Matematičeskie zametki, Tome 84 (2008) no. 5, pp. 732-740. http://geodesic.mathdoc.fr/item/MZM_2008_84_5_a8/