Timeline for Square root of dirac delta function
Current License: CC BY-SA 3.0
10 events
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| Apr 10, 2016 at 23:03 | history | edited | Terry Tao | CC BY-SA 3.0 |
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| Apr 10, 2016 at 19:05 | history | edited | Terry Tao | CC BY-SA 3.0 |
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| Apr 10, 2016 at 19:03 | comment | added | Terry Tao | I think it can be placed in the Besov space $B^{0,\infty}_2$ (a Fourier-analytic version of "weak $L^2$"). Almost, but not quite, enough regularity to define $(\hat f)^2$ in any reasonable sense. | |
| Apr 10, 2016 at 18:36 | comment | added | Christian Remling | I'm now curious about what $\widehat{f}\in\mathcal S'$ looks like, I wonder if anything meaningful can be said. | |
| Apr 10, 2016 at 18:21 | history | edited | Terry Tao | CC BY-SA 3.0 |
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| Apr 10, 2016 at 17:35 | vote | accept | DLN | ||
| Apr 10, 2016 at 17:34 | history | edited | Terry Tao | CC BY-SA 3.0 |
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| Apr 10, 2016 at 17:29 | history | edited | Terry Tao | CC BY-SA 3.0 |
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| Apr 10, 2016 at 17:29 | comment | added | Christian Remling | Another remark is that once one has an $f$, then $g=\varphi*f$ for a non-negative $\varphi\in C_0^{\infty}$ with $\int\varphi =1$ is a smooth function with $g*g=1$. | |
| Apr 10, 2016 at 17:25 | history | answered | Terry Tao | CC BY-SA 3.0 |