Fourier's theorem (English)
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Definition (undergraduate level)
If we have a function f(x) which is continuous except possibly at a finite number of finite discontinuities, defined on the interval [ − π, π] and with only a finite number of maxima and minima in that interval, then it is possible to find a convergent Fourier series to represent the function in that interval.
Relations
- broader:
- (en) Theorem
- references:
- (en) Continuous
- (en) Fourier
- (en) Fourier series
- (en) Function
- (en) Series
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