Fourier Transform

Sever Angel Popescu and Marilena Jianu
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Sever Angel Popescu: Technical University of Civil Engineering of Bucharest, Department of Mathematics and Computer Science
Marilena Jianu: Technical University of Civil Engineering of Bucharest, Department of Mathematics and Computer Science

Chapter Chapter 5 in Advanced Mathematics for Engineers and Physicists, 2022, pp 249-303 from Springer

Abstract: Abstract In Chap. 4 we have seen that Fourier series are used to represent periodic functions (or functions defined on a finite interval, which can be extended by periodicity to the entire axis). In this chapter, we introduce the Fourier transform, which generalizes this idea to the integral representation of non-periodic functions defined on the whole set of real numbers. We present the properties and some applications of the Fourier transform. Finally, we introduce the discrete Fourier transform which can be used when a function is given only in terms of values at a finite number of points.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-21502-5_5

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DOI: 10.1007/978-3-031-21502-5_5

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