Injectivity of the Spherical Mean Operator on the Conical Manifolds of Spheres |
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| Authors: | Agranovsky M. L. Narayanan E. K. |
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| Affiliation: | (1) Bar-Ilan University, Ramat Gan;(2) Indian Institute of Science, Bangalore |
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| Abstract: | ![]()
Let f be a continuous function on  n. If f has zero integral over every sphere intersecting a given subset A of n and A lies in no affine plane of dimension n -2, then f vanishes identically. The condition on the dimension of A is sharp. |
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| Keywords: | spherical mean wave equation dependence domain |
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