Shift-invariant subspaces and wavelets on local fields
Article Type
Research Article
Publication Title
Acta Mathematica Hungarica
Abstract
We show that every closed shift-invariant subspace of L2(K) is generated by the Λ-translates of a countable number of functions, where K is a local field of positive characteristic and Λ is an appropriate translation set. We use this result to provide a characterization of wavelets on such a field.
First Page
157
Last Page
173
DOI
10.1007/s10474-015-0558-x
Publication Date
2-1-2016
Recommended Citation
Behera, B., "Shift-invariant subspaces and wavelets on local fields" (2016). Journal Articles. 4441.
https://digitalcommons.isical.ac.in/journal-articles/4441
COinS