arXiv subjects

E. A. Lebedeva

Publications and source records attributed to E. A. Lebedeva.

2 recordsLinked to original sources

arXiv2020

On refinement masks of tight wavelet frames

In the paper we obtain sufficient conditions for a trigonometric polynomial to be a refinement mask corresponding to a tight wavelet frame. The condition is formulated in terms of the roots of a mask. In particular, it is proved that any trigonometric polynomial can serve as a mask if its associated algebraic polynomial has only negative roots (at least one of them, of course, equals $-1$).

math.CA↗

arXiv2009

Uncertainty constants and quasispline wavelets

In 1996 Chui and Wang proved that the uncertainty constants of scaling and wavelet functions tend to infinity as smoothness of the wavelets grows for a broad class of wavelets such as Daubechies wavelets and spline wavelets. We construct a class of new families of wavelets (quasispline wavelets) whose uncertainty constants tend to those of the Meyer wavelet function used in construction.

math.CA↗