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math.FA2018★ 1 cited
An Exact Upper Bound on the Lebesgue Constant and The -Rényi Entropy Power Inequality for Integer Valued Random Variables
Peng Xu, Mokshay Madiman, James Melbourne
In this paper, we proved an exact asymptotically sharp upper bound of the Lebesgue Constant (i.e. the norm of Dirichlet kernel) for . As an application, we also…
math.RT2018
On the pro--Iwahori invariants of supersingular representations of unramified
Peng Xu
Let be the unramified unitary group over a non-archimedean local field of odd residue characteristic . In this paper, for any supersingular representation…