Toeplitz Operators on Odd Dimensional Manifolds and Weighted Bergman Kernels with Bounded Toeplitz Products on the Unit Ball.

Hassan, Eltigani Ismail

dc.contributor.author	Hassan, Eltigani Ismail
dc.date.accessioned	2013-09-19T11:37:59Z
dc.date.available	2013-09-19T11:37:59Z
dc.date.issued	2012-11-01
dc.identifier.citation	Hassan,Eltigani Ismail .Toeplitz Operators on Odd Dimensional Manifolds and Weighted Bergman Kernels with Bounded Toeplitz Products on the Unit BalllEltigani Ismail Hassan;Shawgy Hussein Abdalla .-Khartoum:Sudan University of Science and Technology,College of Science,2012.-280p. ill. ; 28cm.-PhD.	en_US
dc.identifier.uri	http://hdl.handle.net/123456789/1645
dc.description	Thesis	en_US
dc.description.abstract	We characterize the finite rank of Bergman and Bargmann Toeplitz operators generated by a measure in many dimensions and show some applications. We showthe finite rank commutator of Toeplitz and Hankel operators with the semicommutators of Toeplitz operators with bounded harmonic symbols .We study the relation of Toeplitz family operators to the higher spectral flow on dimensional manifolds with boundary. We study also the CR invariants and describe the boundary singularity of weighted Bergman kernels. We discuss the distribution functions inequality and investigate the products of Toeplitz operators and Hankel operators on Bergman spaces of the unit ball and on the polydisks.	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	Toeplitz - Products	en_US
dc.title	Toeplitz Operators on Odd Dimensional Manifolds and Weighted Bergman Kernels with Bounded Toeplitz Products on the Unit Ball.	en_US
dc.title.alternative	مؤثرات توبليتز فى متعددات الطيات ذات البعد الفردي و نويات بيجمان المرجحةطبقا لضرب توبليتز المحدود على الكرة الواحدة	en_US
dc.type	Thesis	en_US