Discrete Riesz MRA on local fields of positive characteristic
We propose a method to construct Riesz MRA on local fields of positive characteristic and corresponding scaling step functions that generate it.
math.FA↗
arXiv subjects
G. S. Berdnikov
Publications and source records attributed to G. S. Berdnikov.
N-valid trees in wavelet theory on Vilenkin groups
We consider a class of $(N,M)$-elementary step functions on the $p$-adic Vilenkin group. We prove that $(N,M)$-elementary step function generates a MRA on $p$-adic Vilenkin group iff it is generated by a special $N$-valid rooted tree on the set of vertices $\{0,1,\dots p-1\}$ with the vector $(0,...,0)\in \mathbb Z^N$ as a root. Bibliography: 15 titles.
math.FA↗