Geometrical Fourier Transform and its Applications to Engineering Problems

Mohammed, Naglaa Abubaker Balla; Supervisor, - Mohammed Ali Bashir

dc.contributor.author	Mohammed, Naglaa Abubaker Balla
dc.contributor.author	Supervisor, - Mohammed Ali Bashir
dc.date.accessioned	2018-02-05T11:22:23Z
dc.date.available	2018-02-05T11:22:23Z
dc.date.issued	2017-12-10
dc.identifier.citation	Mohammed, Naglaa Abubaker Balla . Geometrical Fourier Transform and its Applications to Engineering Problems / Naglaa Abubaker Balla Mohammed ; Mohammed Ali Bashir .- Khartoum: Sudan University of Science and Technology, college of Science, 2017 .- 153p. :ill. ;28cm .- PhD.	en_US
dc.identifier.uri	http://repository.sustech.edu/handle/123456789/20283
dc.description	Thesis	en_US
dc.description.abstract	In this research we studied Fourier transform and Fourier Analysis. We first introduced an analytical formulation using Hilbert space. We utilized the principle of uniform boundedness and the open mapping theorem to establish the convergence of Fourier series and the existence of Fourier transform. Here the geometry of Hilbert space has been involved. Then we applied Fourier transform to Engineering problems, these include Motion group, Robotics, Statistical mechanics, Mass density, and frame density.	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	Engineering Problems	en_US
dc.subject	Fourier Transform	en_US
dc.title	Geometrical Fourier Transform and its Applications to Engineering Problems	en_US
dc.title.alternative	تحىيل فىريير الهندسي وتطبيقاته على المسائل الهندسية	en_US
dc.type	Thesis	en_US