Boundedness of Eisenstein integrals on Pseudo Riemannian real hyperbolic spaces
Sanjoy Pusti, Iswarya Sitiraju
Published: 2025/9/29
Abstract
We characterised the bounded normalized Eisenstein integrals on the pseudo real hyperbolic spaces $\mathrm{SO}_e(p, q)/\mathrm{SO}_e(p-1, q)$ for $p, q\geq 1$. As a consequence, we proved Hausdorff-Young inequality on these spaces.