Non-spectral fractal measures with Fourier frames
Functional Analysis
2018-05-03 v2
Abstract
We generalize the compatible tower condition given by Strichartz to the almost-Parseval-frame tower and show that non-trivial examples of almost-Parseval-frame tower exist. By doing so, we demonstrate the first singular fractal measure which has only finitely many mutually orthogonal exponentials (and hence it does not admit any exponential orthonormal bases), but it still admits Fourier frames.
Keywords
Cite
@article{arxiv.1509.06855,
title = {Non-spectral fractal measures with Fourier frames},
author = {Chun-Kit Lai and Yang Wang},
journal= {arXiv preprint arXiv:1509.06855},
year = {2018}
}
Comments
Final version