asdfasdfasdf
New member
- Joined
- Jan 13, 2017
- Messages
- 9
Develop the definition of the Fourier transform of a function
f(x) be extending the definition of the Fourier series of f to
the case where the discrete spectrum of Fourier coefficients
becomes a continuous spectrum.
That is the problem and this is all I got to.
Let f be representable by its Fourier series on (−L, L). Then f can be
written as
f(x) = ∞∑n=−∞ Cnei{(nπx) / L] (−L < x< L)
where Cn are the complex Fourier coefficients of f given by
Cn = (1 / 2L) L∫−L f(x)e−i{(nπx) / L} dx.
I'm so bad at this...
f(x) be extending the definition of the Fourier series of f to
the case where the discrete spectrum of Fourier coefficients
becomes a continuous spectrum.
That is the problem and this is all I got to.
Let f be representable by its Fourier series on (−L, L). Then f can be
written as
f(x) = ∞∑n=−∞ Cnei{(nπx) / L] (−L < x< L)
where Cn are the complex Fourier coefficients of f given by
Cn = (1 / 2L) L∫−L f(x)e−i{(nπx) / L} dx.
I'm so bad at this...