Existence of optimizers is established for the Wigner-distribution concentration functional over finite-measure phase-space sets for 1 ≤ p < ∞, with sharp constant 2^d attained at p = ∞.
Lerner.Integrating the Wigner distribution on subsets of the phase space, a survey, volume 12 of Memoirs of the European Mathematical Society
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On the existence of optimizers for nonlinear time-frequency concentration problems: the Wigner distribution
Existence of optimizers is established for the Wigner-distribution concentration functional over finite-measure phase-space sets for 1 ≤ p < ∞, with sharp constant 2^d attained at p = ∞.