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- Structure_theorem_for_Gaussian_measures 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.".
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- Structure_theorem_for_Gaussian_measures wikiPageRevisionID "671981029".
- Structure_theorem_for_Gaussian_measures wikiPageWikiLink Abstract_Wiener_space.
- Structure_theorem_for_Gaussian_measures wikiPageWikiLink Banach_space.
- Structure_theorem_for_Gaussian_measures wikiPageWikiLink Canonical_form.
- Structure_theorem_for_Gaussian_measures wikiPageWikiLink Category:Probability_theorems.
- Structure_theorem_for_Gaussian_measures wikiPageWikiLink Category:Theorems_in_measure_theory.
- Structure_theorem_for_Gaussian_measures wikiPageWikiLink Cylinder_set_measure.
- Structure_theorem_for_Gaussian_measures wikiPageWikiLink Gaussian_measure.
- Structure_theorem_for_Gaussian_measures wikiPageWikiLink Gopinath_Kallianpur.
- Structure_theorem_for_Gaussian_measures wikiPageWikiLink Hilbert_space.
- Structure_theorem_for_Gaussian_measures wikiPageWikiLink Jacob_Feldman.
- Structure_theorem_for_Gaussian_measures wikiPageWikiLink Leonard_Gross.
- Structure_theorem_for_Gaussian_measures wikiPageWikiLink Lucien_Le_Cam.
- Structure_theorem_for_Gaussian_measures wikiPageWikiLink Lucien_le_Cam.
- Structure_theorem_for_Gaussian_measures wikiPageWikiLink Mathematics.
- Structure_theorem_for_Gaussian_measures wikiPageWikiLink Richard_M._Dudley.
- Structure_theorem_for_Gaussian_measures wikiPageWikiLink Separable_space.
- Structure_theorem_for_Gaussian_measures wikiPageWikiLink Strictly_positive_measure.
- Structure_theorem_for_Gaussian_measures wikiPageWikiLink Topological_vector_space.
- Structure_theorem_for_Gaussian_measures wikiPageWikiLinkText "Structure theorem for Gaussian measures".
- Structure_theorem_for_Gaussian_measures wikiPageWikiLinkText "structure theorem for Gaussian measures".
- Structure_theorem_for_Gaussian_measures hasPhotoCollection Structure_theorem_for_Gaussian_measures.
- Structure_theorem_for_Gaussian_measures wikiPageUsesTemplate Template:Cite_journal.
- Structure_theorem_for_Gaussian_measures wikiPageUsesTemplate Template:MathSciNet.
- Structure_theorem_for_Gaussian_measures wikiPageUsesTemplate Template:Reflist.
- Structure_theorem_for_Gaussian_measures subject Category:Probability_theorems.
- Structure_theorem_for_Gaussian_measures subject Category:Theorems_in_measure_theory.
- Structure_theorem_for_Gaussian_measures type Article.
- Structure_theorem_for_Gaussian_measures type Article.
- Structure_theorem_for_Gaussian_measures type Theorem.
- Structure_theorem_for_Gaussian_measures 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.".
- Structure_theorem_for_Gaussian_measures label "Structure theorem for Gaussian measures".
- Structure_theorem_for_Gaussian_measures sameAs m.0gc_y9.
- Structure_theorem_for_Gaussian_measures sameAs Q7625164.
- Structure_theorem_for_Gaussian_measures sameAs Q7625164.
- Structure_theorem_for_Gaussian_measures wasDerivedFrom Structure_theorem_for_Gaussian_measures?oldid=671981029.
- Structure_theorem_for_Gaussian_measures isPrimaryTopicOf Structure_theorem_for_Gaussian_measures.