Structure theorem for Gaussian measures: Difference between revisions

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In [[mathematics]], the '''structure theorem for Gaussian measures''' shows that the [[abstract Wiener space]] construction is essentially the only way to obtain a [[Strictly positive measure|strictly positive]] [[Gaussian measure]] on a [[separable space|separable]] [[Banach space]]. It was proved in 1977 by [[Gopinath Kallianpur|Kallianpur]]-Sato-Stefan and [[Richard Dudley|Dudley]]-Feldman-[[Lucien_le_Cam|le Cam]].

==Statement of the theorem==