Dilates of shift-invariant spaces on local fields

Authors

Biswaranjan Behera, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

Publicationes Mathematicae Debrecen

Abstract

Let K be a local field of positive characteristic. We prove that if the space V of negative dilates of a Parseval wavelet of L2(K) has dimension function finite on a set of positive measure, then the intersection of the dilates of V is trivial. We also construct an example of a frame wavelet of L2(K) whose space of negative dilates is all of L2(K). The frame wavelet can be chosen to have frame bounds arbitrarily close to 1 and it has a dual frame wavelet.

First Page

261

Last Page

284

DOI

https://10.5486/PMD.2023.9271

Publication Date

1-1-2023

Recommended Citation

Behera, Biswaranjan, "Dilates of shift-invariant spaces on local fields" (2023). Journal Articles. 3959.
https://digitalcommons.isical.ac.in/journal-articles/3959