论文标题
在密闭小波框架的精炼面罩上
On refinement masks of tight wavelet frames
论文作者
论文摘要
在本文中，我们获得了足够的条件，使三角多项式是对应于紧密小波框架的精炼掩模。该条件是根据面具的根来制定的。特别是，如果其相关的代数多项式仅具有负根（当然，当然，当然，则任何三角多项式都可以用作掩模。
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 $-1$).
