Characterization of bounded normalized Eisenstein integrals on pseudo Riemannian spaces, implying Hausdorff-Young inequality.
We characterised the bounded normalized Eisenstein integrals on the pseudo real hyperbolic spaces SOₑ(p, q)/SOₑ(p-1, q) for p, q≥ 1. As a consequence, we proved Hausdorff-Young inequality on these spaces.
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Pusti et al. (2025) studied this question.
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