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An entropy-based uncertainty principle for a locally compact abelian group
Authors:Murad Özaydin
Institution:Department of Mathematics, University of Oklahoma, Norman, OK 73019, USA
Abstract:We classify all functions on a locally compact, abelian group giving equality in an entropy inequality generalizing the Heisenberg Uncertainty Principle. In particular, for functions on a real line, we proof a conjecture of Hirschman published in 1957.
Keywords:primary 43A25  secondary 94A17
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