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- W3147866086 abstract "Existing negative results on invalidity of analogues of classical Density and Differentiation Theorems in infinite-dimensional spaces are considerably strengthened by a construction of a Gaussian measure $gamma$ in a separable Hilbert space $H$ for which the Density Theorem fails uniformly, i.e. there is a set $Msubset H$ of positive $gamma$-measure such that $$ lim_{rsearrow 0}sup_{xin X} frac{gamma(B(x,r)cap M)}{gamma B(x,r)}=0. $$" @default.
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- W3147866086 date "2021-03-25" @default.
- W3147866086 modified "2023-10-14" @default.
- W3147866086 title "A set of positive Gaussian measure with uniformly zero density everywhere." @default.
- W3147866086 doi "https://doi.org/10.4171/jems/1058" @default.
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