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Fourier transforms

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2021
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Abstract (EN)

This thesis consists of seven chapters. The first chapter is devoted to the introduction and general information about thesis are given. In the second chapter, basic concepts and definitions which are needed in the further chapters are given. In the third Fourier transform in space and properties of Fourier transforms are introduced. Basic definitions and theorems about this space and examples are given. In the fourth chapter, Fourier transform in space and and Theory and Inversion Formula are introduced. Basic definitions and theorems about this space and examples are given. In the fifth chapter, Fourier transform in Schwartz space and Fourier transform in Generalized Sense. In the six chapter, distributions and Fourier transform, convergence of distributions, tempered distributions and Fourier transforms of tempered distributions are given. The seven and last chapter is devoted to the conclusion and suggestions. Keywords: Fourier transform, Schwartz space, Fourier transform in Generalized Sense, Tempered distributions, Fourier transform of distributions

Author

Abbas Husseın Ahmed Bakar

How to Cite

Abbas Husseın Ahmed Bakar (Master Thesis). Fourier transforms, 2021, Çankırı Karatekin Üniversitesi.

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