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On the method of analytic discs -

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dc.contributor.author Salameh, Mona Khalil,
dc.date.accessioned 2017-08-30T14:28:33Z
dc.date.available 2017-08-30T14:28:33Z
dc.date.issued 2016
dc.date.submitted 2016
dc.identifier.other b18691791
dc.identifier.uri http://hdl.handle.net/10938/11090
dc.description Thesis. M.S. American University of Beirut. Department of Mathematics, 2016. T:6403
dc.description Advisor : Dr. Florian Bertrand, Assistant Professor, Mathematics ; Committee members : Dr. Faruk Abi- Khuzam, Professor, Mathematics ; Dr. Giuseppe Della Sala, Assistant Professor, Mathematics.
dc.description.abstract Initiated by Riemann and Hilbert, the method of analytic discs is a powerful technique in Several Complex Variables. Such invariants are indeed particularly adapted to the study of CR extension, boundary extension of biholomorphisms or polynomial convexity. Based on a work of Alexander Tumanov, we propose to describe the techniques used to construct analytic discs with boundaries in real submanifolds of the n dimensional complex space and their application to the boundary extension of biholomorphisms.
dc.format.extent 1 online resource (vii, 39 leaves) : color illustrations
dc.language.iso eng
dc.relation.ispartof Theses, Dissertations, and Projects
dc.subject.classification T:006403
dc.subject.lcsh Holomorphic functions.
dc.subject.lcsh Analytic functions.
dc.subject.lcsh Functions of several complex variables.
dc.subject.lcsh Holomorphic mappings.
dc.title On the method of analytic discs -
dc.type Thesis
dc.contributor.department Faculty of Arts and Sciences.
dc.contributor.department Department of Mathematics,
dc.contributor.institution American University of Beirut.


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