Dagnachew, Jenber (2012) Analysis of Fourier Transform in L1 Space and its Inversion. Masters thesis, Addis Ababa University.
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Abstract
This project discusses the concept of Fourier transform of a function � in ���� Space with its properties theorem, inversion theorem, Fourier sine and cosine transforms theorem, Plancherel’s and Parseval’s identities theorem and the applications of Fourier transform in partial differential equations, Shannon’s sampling theorem and Heisenberg’s inequality. Therefore the purpose of this project is to solving certain problems in partial differential equations like for example Heat equation, Wave equation , and Laplace equation, to solve some complicated integrals shortly and simply, and it works in Shannon’s sampling theorem and Heisenberg’s inequality. This project uses some definitions and theorems as a preliminary from some real analysis and Fourier analysis books.
| Item Type: | Thesis (Masters) |
|---|---|
| Subjects: | Q Science > Q Science (General) Q Science > QA Mathematics |
| Divisions: | Africana |
| Depositing User: | Selom Ghislain |
| Date Deposited: | 25 Sep 2018 12:53 |
| Last Modified: | 25 Sep 2018 12:53 |
| URI: | http://thesisbank.jhia.ac.ke/id/eprint/5641 |
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