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Regularity Theorem For Gaussian Spaces

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dc.contributor.advisor Tlas, Tamer
dc.contributor.author Beainy, Tatiana
dc.date.accessioned 2023-05-04T11:14:27Z
dc.date.available 2023-05-04T11:14:27Z
dc.date.issued 2023-05-04
dc.date.submitted 2023-05-02
dc.identifier.uri http://hdl.handle.net/10938/24010
dc.description.abstract An analogue of the regularity theorem for Schwartz distributions is proven in the case the coupling between the space and its dual is done via the Gaussian measure. The result is then studied in infinite dimensions and a counterexample is obtained for the case when the space of test functions is an inductive limit of finite-dimensional ones.
dc.language.iso en
dc.title Regularity Theorem For Gaussian Spaces
dc.type Thesis
dc.contributor.department Department of Mathematics
dc.contributor.faculty Faculty of Arts and Sciences
dc.contributor.commembers Shayya, Bassam
dc.contributor.commembers Della Sala, Giuseppe
dc.contributor.degree MS
dc.contributor.AUBidnumber 202228487


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