Fourier-Series Representation of Discontinuous Functions and Its Physical Applications

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DOI: 10.4236/am.2019.104017    3,313 Downloads   14,486 Views  Citations

ABSTRACT

In this work, Fourier-series representation of a discontinuous function is used to highlight and clarify the controversial problem of finding the value of the function at a point of discontinuity. Several physical situations are presented to examine the consequences of this kind of representation and its impact on some widely well-known problems whose results are not clearly understood or justified.

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Al-Jaber, S. and Saadeddin, I. (2019) Fourier-Series Representation of Discontinuous Functions and Its Physical Applications. Applied Mathematics, 10, 226-233. doi: 10.4236/am.2019.104017.

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