On spectral Cantor measures
经典分析与常微分方程
2007-05-23 v1 泛函分析
摘要
A probability measure in R^d is called a spectral measure if it has an orthonormal basis consisting of exponentials. In this paper we study spectral Cantor measures. We establish a large class of such measures and give a necessary and sufficient condition on the spectrum of a spectral Cantor measure. This extends the earlier results of Jorgensen-Pedersen and Strichartz.
引用
@article{arxiv.math/0109126,
title = {On spectral Cantor measures},
author = {Izabella Laba and Yang Wang},
journal= {arXiv preprint arXiv:math/0109126},
year = {2007}
}
备注
10 pages