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- Q7625164 subject Q8794749.
- Q7625164 subject Q8851985.
- Q7625164 abstract "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 Gaussian measure on a separable Banach space. It was proved in the 1970s by Kallianpur–Sato–Stefan and Dudley–Feldman–le Cam.There is the earlier result due to H. Satô (1969) which proves that "any Gaussian measure on a separable Banach space is an abstract Wiener measure in the sense of L. Gross". The result by Dudley et al. generalizes this result to the setting of Gaussian measures on a general topological vector space.".
- Q7625164 wikiPageWikiLink Q10556141.
- Q7625164 wikiPageWikiLink Q1152398.
- Q7625164 wikiPageWikiLink Q13534569.
- Q7625164 wikiPageWikiLink Q1455249.
- Q7625164 wikiPageWikiLink Q190056.
- Q7625164 wikiPageWikiLink Q194397.
- Q7625164 wikiPageWikiLink Q3265601.
- Q7625164 wikiPageWikiLink Q395.
- Q7625164 wikiPageWikiLink Q4025690.
- Q7625164 wikiPageWikiLink Q4669933.
- Q7625164 wikiPageWikiLink Q5199272.
- Q7625164 wikiPageWikiLink Q5527840.
- Q7625164 wikiPageWikiLink Q680081.
- Q7625164 wikiPageWikiLink Q8794749.
- Q7625164 wikiPageWikiLink Q8851985.
- Q7625164 comment "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 Gaussian measure on a separable Banach space. It was proved in the 1970s by Kallianpur–Sato–Stefan and Dudley–Feldman–le Cam.There is the earlier result due to H. Satô (1969) which proves that "any Gaussian measure on a separable Banach space is an abstract Wiener measure in the sense of L. Gross". The result by Dudley et al.".
- Q7625164 label "Structure theorem for Gaussian measures".