Journal of Lie Theory Vol. 14, No. 1, pp. 227--242 (2004) |
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The Helgason-Fourier Transform for Symmetric Spaces. IIParasar Mohanty, Swagato K. Ray, Rudra P. Sarkar, Alladi SitaramP. MohantyStat-Math Unit Indian Statistical Institute 203 B. T. Road Calcutta 700108, India mparasar@yahoo.com, S. K. Ray Department of Mathematics Indian Institute of Technology Kanpur 208016, India skray@iitk.ac.in, R. P. Sarkar Stat-Math Unit Indian Statistical Institute 203 B. T. Road Calcutta 700108, India rudra@isical.ac.in, and A. Sitaram Stat-Math Unit Indian Statistical Institute 8th Mile, Mysore Rd R.V. College post Bangalore 560059, India sitaram@isibang.ac.in Abstract: 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. Full text of the article:
Electronic version published on: 29 Jan 2004. This page was last modified: 1 Sep 2004.
© 2004 Heldermann Verlag
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