18 citations · 40 across the 10 of their papers we have counts for
15 papers
Approximation by refinement masks
Elena A. Lebedeva
In the paper we design a Parseval wavelet frame with a compact support. The corresponding refinement mask uniformly approximates an arbitrary continuous periodic function , $f(0…
Wavelet frames with matched masks
Elena A. Lebedeva
In the paper we design a Parseval wavelet frame with a compact support and many vanishing moments. The corresponding refinement mask approximates an arbitrary continuous periodic f…
Matched wavelets for equidistant points
Elena A. Lebedeva
Matched wavelets interpolating equidistant data are designed. These wavelets form Riesz bases. Meyer wavelets that interpolate data on a particular uniform lattice are found.
Directional Heisenberg uncertainty product
A. Krivoshein, E. Lebedeva, E. Neiman +1
A directional time-frequency localization measure for functions defined on the -dimensional Euclidean space is introduced. A connection between this measure and its periodic cou…
Uncertainty product for Vilenkin groups
Ivan Kovalyov, Elena Lebedeva
We study a localization of functions defined on Vilenkin groups. To measure the localization we introduce two uncertainty products and that are similar to the Heise…
A directional uncertainty principle for periodic functions
A. Krivoshein, E. Lebedeva, J. Prestin
In this paper we introduce a notion of a directional uncertainty product for multivariate periodic functions. It measures a localization of a function along a particular direction.…