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5 papers
The smoothness of orbital measures on noncompact symmetric spaces
Sanjiv Kumar Gupta, Kathryn E. Hare
Let be an irreducible symmetric space where is a non-compact, connected Lie group and is a compact, connected subgroup. We use decay properties of the spherical funct…
The smoothness of convolutions of orbital measures on complex Grassmannian symmetric spaces
Sanjiv Kumar Gupta, Kathryn E. Hare
It is well known that if is any irreducible symmetric space and is a continuous orbital measure supported on the double coset then the convolution product, $μ_…
Transferring spherical multipliers on compact symmetric spaces
Sanjiv K. Gupta, Kathryn E. Hare
We prove a two-sided transference theorem between spherical multipliers on the compact symmetric space and multipliers on the vector space wh…
The absolute continuity of convolutions of orbital measures in symmetric spaces
Sanjiv Kumar Gupta, Kathryn E. Hare
We characterize the absolute continuity of convolution products of orbital measures on the classical, irreducible Riemannian symmetric spaces of Cartan type , where …
Orbital measures on SU(2)/SO(2)
Boudjemaa Anchouche, Sanjiv Kumar Gupta, Alain Plagne
We let U=SU(2) and K=SO(2) and denote N_{U}(K) the normalizer of K in U. For a an element of U\ N_{U} (K), we let μ_{a} be the normalized singular measure supported in KaK. For p a…