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Segal –Bargmann Transform for The Lévy Functionals space and Sobolev Spaces

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dc.contributor.author Abdel-Rahim, Muhannad Mahgoub
dc.date.accessioned 2013-11-28T08:19:32Z
dc.date.available 2013-11-28T08:19:32Z
dc.date.issued 2010-03-01
dc.identifier.citation Abdel-Rahim,Muhannad Mahgoub .Segal –Bargmann Transform for The Lévy Functionals space and Sobolev Spaces/Muhannad Mahgoub Abdel-Rahim; Shawgy Hussein Abd Alla.-Khartoum:Sudan University of Science and Technology,College of Science,2010.-42p.: ill. ; 28cm.-PhD. en_US
dc.identifier.uri http://hdl.handle.net/123456789/2528
dc.description Thesis en_US
dc.description.abstract We study the basics of holomorphic function spaces , and their holomorphically equivalent Segal-Bargmann spaces . We also consider the canonical commutation relations to derive the Segal – Bargmann transform and invstigate the representations of Lie group and Lie algebra . We give analytic functions on the Hilbert space and estimates of bounds of the Segal – Bargmann transform on the Lebesgue space functions . We investigate the Segal-Bargmann transform and functional calculus on matrix spaces and the Theory of Semi-circular and circular systems . We study the Segal-Bargmann transform on a symmetric space of the compact type and for Lévy functional . We also show the pointwise bound for holomorphic functions which are square-integrable with respect to the density fuctions and hence the generalized Segal-Bargmann transform on holomorphic Sobolev spaces . en_US
dc.description.sponsorship Sudan University of Science and Technology en_US
dc.language.iso en en_US
dc.publisher Sudan University of Science and Technology en_US
dc.subject Physics en_US
dc.subject X-Ray Fluorescence en_US
dc.title Segal –Bargmann Transform for The Lévy Functionals space and Sobolev Spaces en_US
dc.type Thesis en_US


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