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- W4256336280 abstract "Let $mathcal {H}$ be a separable Hilbert space and $mu$ a probability Radon measure on $mathcal {H}$ of second order. Then there exist $({a_n}) in {l^2}$, an O.N.S. $({x_n}) subset mathcal {H}$ and an O.N.S. $({xi _n}) subset H$ such that the orthogonal series $sum nolimits _{n = 1}^infty {{a_n}{xi _n}(x){x_n}}$ converges in $mathcal {H}$ $mu$-almost everywhere and it holds that $x = sum nolimits _{n = 1}^infty {{a_n}{xi _n}(x){x_n}}$, $mu$-almost everywhere, where $H$ is the generating Hubert space of $mu$. In the case where $mu$ is a Gaussian measure, a similar result was proved by Kuelbs [2] in general Banach spaces." @default.
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- W4256336280 date "1982-12-01" @default.
- W4256336280 modified "2023-09-28" @default.
- W4256336280 title "Orthogonal Expansions of Vectors in a Hilbert Space for Non-Gaussian Measures" @default.
- W4256336280 doi "https://doi.org/10.2307/2043600" @default.
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