Abstract
Fourier transform is a linear transform that applicants in the field of engineering and physics. The main goal of this research study is to give a self-contained study of the Fourier transform. As a modern analysis tool, the Fourier Transform has multiple applications in many fields, from the study of partial differential equations to dynamical systems. Fourier transformation has played a key role in many research fields. In this paper, we summarize the basic computational properties of the Fourier transformation and give proof of the Plancherel formula.
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