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The Fourier transform is a key concept in many areas of the natural and mathematical sciences. Much work has been done by scientists, mathematicians and technicians to study this integral transform and its properties in order to support its applications in many branches of science as in acoustic, ecology, electromagnetism, diffusion, neurology, oceanography, optics, physiology, quantum physics, seismology, statistics, and many others. The previous list is only to give the reader an idea of the wide range of applications of the Fourier transform and therefore, it can not be exhaustive. Thus, many efforts have been made to calculate the explicit form of the Fourier transform of a given function. An excellent example of this work is given by the Bateman Manuscript Project.
- 153.M.W. Wong. Discrete Fourier Analysis, volume 5 of Pseudo-Differential Operators. Birkhäuser, Basel, 2011.Google Scholar