Boundedness of Eisenstein integrals on split rank one semisimple symmetric spaces
Functional Analysis
2026-05-05 v2
Abstract
We characterise the bounded left -invariant normalized Eisenstein integrals on split rank one semisimple symmetric spaces. As a consequence we prove Hausdorff-Young inequality on these spaces. We also prove similar result for -finite Eisenstein integrals on pseudo-Riemannian real hyperbolic spaces.
Keywords
Cite
@article{arxiv.2509.24620,
title = {Boundedness of Eisenstein integrals on split rank one semisimple symmetric spaces},
author = {Sanjoy Pusti and Iswarya Sitiraju},
journal= {arXiv preprint arXiv:2509.24620},
year = {2026}
}
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30 pages