Characterizes bounded K-invariant normalized Eisenstein integrals on split rank one semisimple symmetric spaces and derives Hausdorff-Young inequality as a consequence.
The bounded spherical functions on symmetric spaces.Advances in Math., 3:586–593
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Boundedness of Eisenstein integrals on split rank one semisimple symmetric spaces
Characterizes bounded K-invariant normalized Eisenstein integrals on split rank one semisimple symmetric spaces and derives Hausdorff-Young inequality as a consequence.