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

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    • 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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      Posted on July 25, 2019

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