Fourier Series and Partial Differential Equations Lecture Notes

Chapter 2. Fourier series 24
Recall that (2.74) is the Fourier series of
h(x) =
x x ∈ [0,L],
−L
0 x ∈ (−L,0).
y
L x
(2.90)
Looking at the results from the previous example this indicates that the Fourier series of
f(x)+g(x) equals the Fourier series of f(x) plus the Fourier series of g(x).