Regularity Theorem For Gaussian Spaces

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dc.contributor.AUBidnumber202228487
dc.contributor.advisorTlas, Tamer
dc.contributor.authorBeainy, Tatiana
dc.contributor.commembersShayya, Bassam
dc.contributor.commembersDella Sala, Giuseppe
dc.contributor.degreeMS
dc.contributor.departmentDepartment of Mathematics
dc.contributor.facultyFaculty of Arts and Sciences
dc.date2023
dc.date.accessioned2023-05-04T11:14:27Z
dc.date.available2023-05-04T11:14:27Z
dc.date.issued2023-05-04
dc.date.submitted2023-05-02
dc.description.abstractAn 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.identifier.urihttp://hdl.handle.net/10938/24010
dc.language.isoen
dc.titleRegularity Theorem For Gaussian Spaces
dc.typeThesis

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