CLOSED IDEALS IN LIPSCHITZ ALGEBRAS AND HILBERT HARMONIC FORMS WITH LIVSIC THEOREM

Abd Alla, Musa Siddig Yousif; Supervised, - Shawgy Hussein Abd Alla

dc.contributor.author	Abd Alla, Musa Siddig Yousif
dc.contributor.author	Supervised, - Shawgy Hussein Abd Alla
dc.date.accessioned	2016-01-24T06:18:03Z
dc.date.available	2016-01-24T06:18:03Z
dc.date.issued	2015-11-07
dc.identifier.citation	Abd Alla ,Musa Siddig Yousif. CLOSED IDEALS IN LIPSCHITZ ALGEBRAS AND HILBERT HARMONIC FORMS WITH LIVSIC THEOREM /Musa Siddig Yousif Abd Alla ;Shawgy Hussein Abd Alla .-Khartoum: Sudan University of Science and Technology, College of Science,192p. :ill. ;28cm .-PhD.	en
dc.identifier.uri	http://repository.sustech.edu/handle/123456789/12542
dc.description	Thesis	en
dc.description.abstract	We characterize the closed ideals in some algebras of analytic functions, the algebra of absolutely convergent Taylor series and in analytic weighted Lipschitz algebras. The Hodge de Rham decomposition for anL^2 space of differential two-forms and vanishing of L^2 harmonic one-forms on path spaces are considered. We show the vanishing theorem of the Hodge-Kodaira operator and the generalized Clarc-Ocone formulae for differential forms. Some applications of Krien’s theory of regular symmetric operators to sampling and analytic sampling theory in a Hilbert space are investigated.	en
dc.description.sponsorship	Sudan University of Science and Technology	en
dc.language.iso	en	en
dc.publisher	Sudan University of Science and Technology	en
dc.subject	Mathematics	en
dc.subject	Closed ideals	en
dc.subject	Ghebreat to Abstz	en
dc.subject	Hilbert harmonic formulas	en
dc.title	CLOSED IDEALS IN LIPSCHITZ ALGEBRAS AND HILBERT HARMONIC FORMS WITH LIVSIC THEOREM	en
dc.title.alternative	المثاليات المغلقة فى جبريات لبشتز وصيغ هلبرت التوافقية طبقا لمبرهنة ليفسك	en
dc.type	Thesis	en