(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I know that we can write ## \int_{-\infinity}^{\infinity}{e^{ikx}dx}= 2\pi \delta (k) ##

But is there an equivalent if the interval which we are considering is finite? i.e. is there any meaning in ##\int_{-0}^{-L}{e^{i(k-a)x}dx} ## is a lies within 0 and L?

2. Relevant equations

3. The attempt at a solution

I get the feeling the solution, if one exists, will be in the form ##\frac{2\pi}{L}## but I'm not sure if this is right,

Many thanks

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# Homework Help: Dirac delta; fourier representation

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