Timeline for $L^2$ norm of a kernel with a variable width
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Feb 8, 2023 at 11:54 | history | edited | Caroline Wormell |
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| Feb 8, 2023 at 11:52 | history | edited | Caroline Wormell | CC BY-SA 4.0 |
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| Feb 8, 2023 at 11:43 | comment | added | Caroline Wormell | Transforming into Fourier space, gives $$ \hat{\mathcal{K}}\phi(k) = \sum_{j\in\mathbb{Z}} \mathcal{F}(\hat\psi(k\epsilon(\cdot)))(j-k) \phi(j)$$ which, if you imagine say a Lorenz kernel like $\hat\psi(x) = e^{-|x|}$ and $\epsilon(x) = x^2$ (morally, $\epsilon$ is set up to be periodic), then a diffusion in Fourier space with wider diffusion the higher you go. So in some sense a similar problem? | |
| S Feb 8, 2023 at 11:38 | review | First questions | |||
| Feb 8, 2023 at 11:51 | |||||
| S Feb 8, 2023 at 11:38 | history | asked | Caroline Wormell | CC BY-SA 4.0 |