Theoretical analysis establishes Wehrl-type inequalities for holomorphic discrete series on Hermitian Lie groups, identifying reproducing kernels as unique maximizers.
Let G be a Hermitian Lie group. We prove Wehrl-type L²(G)-Lᵖ(G) L 2 ( G ) - L p ( G ) inequalities for matrix coefficients of vector-valued holomorphic discrete series of G , for even integers $$p=2n$$ p = 2 n . The optimal constant is expressed in terms of Harish-Chandra formal degrees for the discrete series. We prove the maximizers are precisely the reproducing kernels.
No takes yet. Share an insight, caveat, or question.
Haastrecht et al. (2026) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: