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From discrete flow of Beckner to continuous flow of Janson in complex hypercontractivity |
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| Authors: | P Ivanisvili A Volberg |
| Institution: | 1. Department of Mathematics, Princeton University; MSRI; UC Irvine, CA, USA;2. Department of Mathematics, Michigan State University, East Lansing, MI 48823, USA |
| Abstract: | We show how Beckner's montonicity result on Hamming cube easily implies the monotonicity of a flow introduced by Janson in Hausdorff–Young inequality |
| Keywords: | 42B20 42B35 47A30 42A38 Complex hypercontractivity Hausdorff–Young inequality Discrete-continuous monotonicity Mehler semigroup |
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