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- Schwartz spaces on split rank one semisimple symmetric spaces
Sanjoy Pusti, Iswarya Sitiraju
We study the left -invariant -Schwartz space and its Fourier transform on split rank one semisimple symmetric spaces for . We explicitly determine the kern…
Boundedness of Eisenstein integrals on split rank one semisimple symmetric spaces
Sanjoy Pusti, Iswarya Sitiraju
We characterise the bounded left -invariant normalized Eisenstein integrals on split rank one semisimple symmetric spaces. As a consequence we prove Hausdorff-Young inequality o…
Spherical Distributions on the De Sitter Space and their Spectral Singularities
Iswarya Sitiraju
A spherical distribution is an eigendistribution of the Laplace-Beltrami operator with certain invariance on the de Sitter space. Let G'=O(1,n;R) be the Lorentz group and H' = O(1,…
Analytic Wavefront Sets of Spherical Distributions on De Sitter Space
Gestur Olafsson, Iswarya Sitiraju
In this article we determine the wavefront sets of spherical distributions on the de Sitter space dS = G/H, G= SO_{1,n}(R)_e. These are eigendistributions of the Laplacian on dS =…