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Results tagged with fa.functional-analysis
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user 61523
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
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Properties of a function from its pullback
Edit: I have now removed the duplication previously referred to. Thank you.
Let $M$ and $N$ be smooth manifolds and $T: M \to N$ be a smooth map. Let $ \mathcal{F}(M,\mathbb{R})$ (resp.$ \mathcal{ …
- 356
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Exploiting the Linearity of the Pullback [closed]
Edit: This question has been significantly revised.
Some recent developments in computational geometry (for example see http://geometry.stanford.edu//papers/fmfrmbs-obsbg-12/fmfrmbs-obsbg-12.pdf) ar …
- 34.7k
2
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1
answer
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Inverse Problem for Pullback
Let $M$ and $N$ be smooth manifolds and $T: M \to N$ be a smooth map. Let $ \mathcal{F}(M,\mathbb{R})$ (resp.$ \mathcal{F}(N,\mathbb{R})$) denote the space of smooth functions from $M$ (resp. $N$) …
- 8,597
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Representing a Pullback as an Infinite Matrix
Let $M$ and $N$ be manifolds and let $T: M \to N$ be a bijective map. Let $ \mathcal{F}(M,\mathbb{R})$ (resp.$ \mathcal{F}(N,\mathbb{R})$) be the space of all functions from $M$ (resp. $N$) to $\ma …
- 61