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\(\left| \mu \right|(B(0,r)) \leqslant Ce^{\alpha r^2 } ,r \geqslant 0\). 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.
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Communicated by Eric Todd Quinto
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Rawat, R., Sitaram, A. Injectivity sets for spherical means on ℝn and on symmetric spacesand on symmetric spaces. The Journal of Fourier Analysis and Applications 6, 343–348 (2000). https://doi.org/10.1007/BF02511160
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DOI: https://doi.org/10.1007/BF02511160