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Results tagged with fourier-analysis
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user 500582
The representation of functions (or objects which are in some generalize the notion of function) as constant linear combinations of sines and cosines at integer multiples of a given frequency, as Fourier transforms or as Fourier integrals.
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Eigenfunction expansion theorem for general manifold for smooth functions
The question starts with the well known facts that: if $f$ is a smooth function on $S^1$, then its Fourier series converges to it in smooth topology.
This must be true in more general setting. I have …
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