Homework Statement
Define the periodicity of the function with the following Taylor Series expansion:
f=i\sum_{n=0}^{\infty} (-1)^{n} \frac {x^{3n+2}}{(2n)!}
Homework Equations
To find the periodicity, we take the Fourier transform of f, treated as a tempered distribution...
Homework Statement
Determine the Fourier transform on the tempered distribution:
\langle f, \varphi \rangle
Where f can be given by they taylor series representation:
f = i\sum_{n=0}^{\infty} \frac {x^{3n+2}}{(2n)!}
The Attempt at a Solution
Fourier transform on tempered distribution...