The heart of the problem is finding a fourier series in its complex form for:
$\displaystyle\sum _{k=-\infty }^{\infty } e^{-4|t-k|}$
The form I know of is $\displaystyle\sum_{k=-\infty}^{\infty} C_ne^{ikt\omega}$
My problem is that this is not a periodic and I dont know how to proceed.
A direction will be helpful. Thank you.