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The Gaussian limit for high-dimensional spherical means |
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| Authors: | Amy Peterson Ambar N. Sengupta |
| Affiliation: | Department of Mathematics, University of Connecticut, Storrs, CT 062569, United States of America |
| Abstract: | We show that the limit of integrals along slices of a high dimensional sphere is a Gaussian integral on a corresponding finite-codimension affine subspace in infinite dimensions. |
| Keywords: | primary 44A12 secondary 28C20 60H40 Gaussian Radon transform Spheres Large-N limit Gaussian measure |
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