Fourier Series
Definition
Let
be a periodic function defined on interval 
, where 
holds. In this case,
Orthogonal vectors
For
, and 
then
For
then
Dirichlet's conditions
is a single-valued function defined in interval 
except in a finite number of points.
is a periodic function with period 
are continuous in interval 
except in a finite number of points.
Parseval's identity
If
satisfies Dirichlet's conditions, we have:
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