Joseph Fourier was the French mathematician and physicist after whom Fourier Series, Fourier's Law, and the Fourier Transform were named. He is commonly credited with discovering the greenhouse effect.
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Fourier analysis Frequency-domain graphs
Joseph in the bible obviously.
Yes, a Fourier series can be used to approximate a function with some discontinuities. This can be proved easily.
no every function cannot be expressed in fourier series... fourier series can b usd only for periodic functions.
An aperiodic signal cannot be represented using fourier series because the definition of fourier series is the summation of one or more (possibly infinite) sine wave to represent a periodicsignal. Since an aperiodic signal is not periodic, the fourier series does not apply to it. You can come close, and you can even make the summation mostly indistinguishable from the aperiodic signal, but the math does not work.