Lacunary Fourier series and a qualitative uncertainty principle for compact Lie groups
Narayanan, E K · Sitaram, A
Original · EN
We define lacunary Fourier series on a compact connected semisimple Lie group G. If f ∈ L¹(G) has lacunary Fourier series, and vanishes on a non empty open set, then we prove that f vanishes identically. This may be viewed as a qualitative uncertainty principle.
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