My def. of FT is
, T= period
* How to calculate Fourier transform for
for ; and for (Which is the period here???)
* for , this gives me I don't remember what to do with that...
Maple says that FT in this case is .
This gives me the impression that you are confusing Fourier series with Fourier transforms.
If a function is periodic, with period T, then it has a Fourier series, in which the n-th (complex) Fourier coefficient is .
Fourier transforms are for functions (non-periodic) that are integrable over the whole real line, and the Fourier transform is a function, defined by .
For the two functions f_1 and f_2, the integrals for the Fourier transforms are
,
.