Some questions on integral geometry on noncompact symmetric spaces of higher rank

Narayanan, E. K. ; Sitaram, A. (2013) Some questions on integral geometry on noncompact symmetric spaces of higher rank Monatshefte fur Mathematik, 170 (2). pp. 195-203. ISSN 0026-9255

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Official URL: https://link.springer.com/article/10.1007/s00605-0...

Related URL: http://dx.doi.org/10.1007/s00605-012-0429-2

Abstract

Let M be a noncompact symmetric space of higher rank. We consider two types of averages of functions: one, over level sets of the heat kernel on M and the other, over geodesic spheres. We prove injectivity results for functions in Lp which extend the results in Pati and Sitaram (Sankya Ser A 62:419–424, 2000).

Item Type:Article
Source:Copyright of this article belongs to Springer-Verlag.
Keywords:Integral Geometry; Heat Kernel; Spherical Means; Spherical Functions
ID Code:108955
Deposited On:13 Jun 2017 06:27
Last Modified:13 Jun 2017 06:27

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