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Abstract: We define lacunary Fourier series on a compact connected semisimple Lie group$G$. If $f \in L^1G$ has lacunary Fourier series, and vanishes on a non emptyopen set, then we prove that $f$ vanishes identically. This may be viewed as aqualitative uncertainty principle.



Author: E K Narayanan, A Sitaram

Source: https://arxiv.org/







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