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Results tagged with fa.functional-analysis
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user 37087
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
6
votes
Accepted
When is an analytic function in $L^2(\Bbb R)$?
Since you ask about "real analytic functions", should it be $f:\mathbb{R}\to \mathbb{R}$ instead of $f:\mathbb{R}\to \mathbb{C}$?
I think analyticity is a "local" concept according to its definition. …
- 398
1
vote
1
answer
526
views
Stone-Weierstrass Theorem, polynomial interpolation, divided difference in complex plane
Setting:
Let $\Gamma$ be a simple smooth($C^\infty$) curve in $\mathbb{C}$ parametrized by the injective map $\gamma:[0,1] \to \mathbb{C}$.
Assume $f$ is a function defined on $\Gamma$ s.t. $f$ is su …
- 398