Limiting Means for Spherical Slices
classification
🧮 math.PR
math.FA
keywords
slicesaffinealongclasscorrespondingdimensionaldimensionsfinite-codimension
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We show that for a suitable class of functions of finitely-many variables, 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.
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