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

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      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

       

      E K Narayanan1 A Sitaram1

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

       
  • Proceedings – Mathematical Sciences | News

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