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 \(L^p\) which extend the results in Pati and Sitaram (Sankya Ser A 62:419–424, 2000).
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