Injectivity sets for spherical means on Rn and on symmetric spaces and on symmetric spaces

Rawat, Rama ; Sitaram, A. (2000) Injectivity sets for spherical means on Rn and on symmetric spaces and on symmetric spaces Journal of Fourier Analysis and Applications, 6 (3). pp. 343-348. ISSN 1069-5869

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Official URL: https://link.springer.com/article/10.1007/BF025111...

Related URL: http://dx.doi.org/10.1007/BF02511160

Abstract

A complex Radon measure μ on Rn is said to be of at most exponential-quadratic growth if there exist positive constants C and α such that|μ|(B(0,r))≤Ceαr2,r≥0. Let Xexp denote the space of all complex Radon measure on Rn of at most exponential-quadratic growth. Using elementary methods, we obtain injectivity sets for spherical means for Xexp. We also discuss similar results for symmetric spaces.

Item Type:Article
Source:Copyright of this article belongs to Springer Verlag.
Keywords:Spherical Means; Symmetric Spaces; Analytic Vectors
ID Code:108963
Deposited On:14 Jun 2017 04:25
Last Modified:14 Jun 2017 04:25

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