I want to convolve two triangles. The equation satisfied by one triangle is
$f(y) = \begin{cases} y + 1 & −1 < y < 0\\ \\ 1 − y & 0 \leq y < 1 \end{cases}.$
So, the overall duration of a triangle is $\;-1\;$ to $\;1$.
What I have found is that the convolution of a triangle with itself is a $\operatorname{sinc}$ function but does one obtain this $\operatorname{sinc}$ from the above equation?
Secondly, what should be the limits of integral for calculating convolution?