Timeline for Cousin of Fourier transform for rescaling and translating functions
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| May 17, 2022 at 0:53 | comment | added | paul garrett | Well, in fact (google "Schwartz' Kernel Theorem") in nearly every situation operators can be described by kernels. Lots of technicalities, naturally. :) But, basically, any continuous linear map that makes sense as a map from test functions (a very tiny nice class of functions) to distributions (a pretty large class...) on $\mathbb R$ (and such) is given by a distribution on $\mathbb R^2$... which is a generalization of "kernel". | |
| May 16, 2022 at 23:38 | history | edited | Branimir Ćaćić | CC BY-SA 4.0 |
The conflict with the notation $f^\prime$ for a first derivative was just too jarring.
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| May 16, 2022 at 23:26 | comment | added | Kevin Ellis | Thanks, I got very stuck on this when I made that assumption. Can that assumption be relaxed to solve this problem? | |
| May 16, 2022 at 22:16 | history | edited | Kevin Ellis | CC BY-SA 4.0 |
deleted 14 characters in body
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| May 16, 2022 at 22:06 | comment | added | paul garrett | If you postulate that the transform is given by "integrating against a kernel" (a function of two variables...), you'll see that this is very difficult to arrange... | |
| S May 16, 2022 at 21:46 | review | First questions | |||
| May 17, 2022 at 5:52 | |||||
| S May 16, 2022 at 21:46 | history | asked | Kevin Ellis | CC BY-SA 4.0 |