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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.

4 votes
1 answer
479 views

Eigenfunction basis of Laplacian on a manifold

It is a well known result that for $\Omega$ bounded open set in $\mathbb{R}^n$, there exists a basis of $C^\infty$ eigenfunctions of the Laplacian for $L^2(\Omega)$. It is also known that there exists …
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