MHB Mean square convergence of Fourier series

Dustinsfl
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What is the statement of the mean square convergence of Fourier series?
 
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dwsmith said:
What is the statement of the mean square convergence of Fourier series?

You can find the definition of mean square convergence >>here<<.
 

Thread 'About the definition of topological manifold using closed sets'

We all know the definition of n-dimensional topological manifold uses open sets and homeomorphisms onto the image as open set in ##\mathbb R^n##. It should be possible to reformulate the definition of n-dimensional topological manifold using closed sets on the manifold's topology and on ##\mathbb R^n## ? I'm positive for this. Perhaps the definition of smooth manifold would be problematic, though.
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