sequences-and-series
Fourier coefficients as orthogonal-projection coordinates
taught
Taught in
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Fourier coefficients as orthogonal projections
Fourier Analysis
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Completeness and Hilbert spaces
Fourier Analysis
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What "best approximation" means for a truncated Fourier series
Fourier Analysis
Requires
- fourier-series-coefficient-formulas required
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the-orthogonal-decomposition-theorem
required
Cross-domain (linear-algebra): identifies each Fourier coefficient as the orthogonal projection of f onto a basis function, which presumes the orthogonal decomposition theorem.
Required by
- Bessel's inequality required
- Parseval's identity for Fourier series required
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