• Lacunary Fourier Series and a Qualitative Uncertainty Principle for Compact Lie Groups

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/121/01/0077-0081

• # Keywords

Lacunary Fourier series; uncertainty principles; Weyl’s character formula.

• # Abstract

We define lacunary Fourier series on a compact connected semisimple Lie group 𝐺. If $f\in L^1(G)$ has lacunary Fourier series and 𝑓 vanishes on a non empty open subset of 𝐺, then we prove that 𝑓 vanishes identically. This result can be viewed as a qualitative uncertainty principle.

• # Author Affiliations

1. Department of Mathematics, Indian Institute of Science, Bangalore 560 012, India

• # Proceedings – Mathematical Sciences

Volume 130, 2020
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019