Geodesic
On the uncertainty constants for linear combination of some subsystems of coherent states
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 7 (2014), pp. 17-31 Cet article a éte moissonné depuis la source Math-Net.Ru

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Uncertainty constants for coherent states obtain irreduciable value. But problems of interpolation and orthogonalization requires the original system of functions to move to linear combinations. Localization of linear combinations of coherent states subsystems which have been set on a rectangular lattice are studied. Formulas for uncertainty constants of these combinations in general case and at additional assumptions on coefficients are received. Formulas for uncertainty constants of linear combinations of uniform shifts of Gauss function in general case and at additional assumptions on coefficients are received. Results of numerical calculations are given for the interpolating scaling functions constructed for uniform shifts of Gauss function.
Keywords: uncertainty constant, coherent states, uniform shifts of single function, Gaussian function, node function, frames.
Mots-clés : Fourier transformation 
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M. V. Zhuravlev; I. Ya. Novikov; S. N. Ushakov. On the uncertainty constants for linear combination of some subsystems of coherent states. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 7 (2014), pp. 17-31. http://geodesic.mathdoc.fr/item/VSGU_2014_7_a1/

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