Fourier and Fourier-Stieltjes Algebras for Locally Compact Groups

Albasheer, Abeer Ali; Supervisor, Shawgy Hussein Abdalla

dc.contributor.author	Albasheer, Abeer Ali
dc.contributor.author	Supervisor, Shawgy Hussein Abdalla
dc.date.accessioned	2017-01-11T07:47:30Z
dc.date.available	2017-01-11T07:47:30Z
dc.date.issued	2016-05-10
dc.identifier.citation	Albasheer, Abeer Ali . Fourier and Fourier-Stieltjes Algebras for Locally Compact Groups / Abeer Ali Albasheer ; Shawgy Hussein Abdalla .- Khartoum: Sudan University of Science and Technology, college of Science,2016 .- 88p. :ill. ;28cm .-M.Sc.	en_US
dc.identifier.uri	http://repository.sustech.edu/handle/123456789/15145
dc.description	Thesis	en_US
dc.description.abstract	We show Abel-Tauber theorems for Fourier cosine transforms. We treat the boundary cases of the Abel-Tauber theorem of Pitman, and Soni. For locally compact groups, Fourier algebras and Fourier-Stieltjes algebras have proven to be useful dual objects. We encode the representation theory of the group, that is, positive definite functions on the group. Because groupoids and their representation appear in studying operator algebras, ergodic theory, geometry , and the representation theory of groups ,it would be useful to have a duality theory for them. We show Abel-Tauber theorems which link the asymptotics of a function and its Fourier-Stieltjes coefficients under a weak Tauberian condition .Both cosine and sine coefficients are studied	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	Mathematics	en_US
dc.subject	Locally Compact Groups	en_US
dc.subject	Stieltjes Algebras	en_US
dc.subject	Fourier and Fourier	en_US
dc.title	Fourier and Fourier-Stieltjes Algebras for Locally Compact Groups	en_US
dc.title.alternative	جبريات فورير وفورير-استلتجس لزمر التراص الموضعى	en_US
dc.type	Thesis	en_US