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Journal of Lie Theory 14 (2004), No. 1, 227--242
Copyright Heldermann Verlag 2004

The Helgason-Fourier Transform for Symmetric Spaces II

Parasar Mohanty
Stat-Math Unit, Indian Statistical Institute, 203 B. T. Road, Calcutta 700108, India, mparasar@yahoo.com

Swagato K. Ray
Department of Mathematics, Indian Institute of Technology, Kanpur 208016, India, skray@iitk.ac.in

Rudra P. Sarkar
Stat-Math Unit, Indian Statistical Institute, 203 B. T. Road, Calcutta 700108, India, rudra@isical.ac.in

Alladi Sitaram
Stat-Math Unit, Indian Statistical Institute, 8th Mile, Mysore Rd, R.V. College post, Bangalore 560059, India, sitaram@isibang.ac.in

We formulate analogues of the Hausdorff-Young and Hardy-Littlewood-Paley inequalities, the Wiener Tauberian theorem, and some uncertainty theorems on Riemannian symmetric spaces of noncompact type using the Helgason-Fourier transform.

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