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I'm studying about the waves and the classical wave equation where I'm searching out the methods to check whether a function represents a wave or not, and I come up with this question.

Qmechanic
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senku ishigami
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1 Answers1

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Most functions can be expressed as a sum of sines and cosines (waves) though the use of a Fourrier transform and are therefore wave like(a sum of waves is a wave).

So when exactly can we apply a Fourrier Transform ?

Well there are 3 conditions for a Fourier Series of a function to be exist: 1. It has to be periodic. 2. It must be single valued, continuous.it can have finite number of finite discontinuities. 3. It must have only a finite number of Maxima and minima within the period. 4. The Integral over one period of |f(X)| must converge. Each of them have Analytical proofs but let's discuss them using analogy.

Manu de Hanoi
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