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An optimal uncertainty principle in twelve dimensions via modular forms

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Published in 2019 at "Inventiones mathematicae"

DOI: 10.1007/s00222-019-00875-4

Abstract: We prove an optimal bound in twelve dimensions for the uncertainty principle of Bourgain, Clozel, and Kahane. Suppose $$f :\mathbb {R}^{12} \rightarrow \mathbb {R}$$f:R12→R is an integrable function that is not identically zero. Normalize its… read more here.

Keywords: uncertainty principle; uncertainty; bound; optimal uncertainty ... See more keywords