Examples of wavelets for local fields
经典分析与常微分方程
2007-05-23 v1 数论
摘要
Using the wavelet theory introduced by the author and J. Benedetto, we present examples of wavelets on p-adic fields and other locally compact abelian groups with compact open subgroups. We observe that in this setting, the Haar and Shannon wavelets (which are at opposite extremes over the real numbers) coincide and are localized both in time and in frequency. We also study the behavior of the translation operators required in the theory.
引用
@article{arxiv.math/0312038,
title = {Examples of wavelets for local fields},
author = {Robert L. Benedetto},
journal= {arXiv preprint arXiv:math/0312038},
year = {2007}
}
备注
21 pages; LaTeX2e; to appear in the proceedings of the AMS Special Session on Wavelets, Frames, and Operator Theory held at Baltimore, January 2003