Timeline for Wiener Corollary in "An introduction to harmonic analysis" by Yitzhak Katznelson
Current License: CC BY-SA 4.0
12 events
| when toggle format | what | by | license | comment | |
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| Feb 28, 2021 at 21:06 | history | became hot network question | |||
| Feb 28, 2021 at 21:03 | history | edited | Daniele Tampieri | CC BY-SA 4.0 |
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| Feb 28, 2021 at 20:54 | comment | added | Asaf | A finite measure has at-most countably many atoms, that should make the definition of the LHS clear as it is the sum of at-most countably many non-zero values... | |
| Feb 28, 2021 at 19:17 | history | edited | Yemon Choi | CC BY-SA 4.0 |
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| Feb 28, 2021 at 12:41 | history | edited | Christoff_ferland | CC BY-SA 4.0 |
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| Feb 28, 2021 at 12:26 | history | edited | Christoff_ferland | CC BY-SA 4.0 |
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| Feb 28, 2021 at 12:09 | comment | added | Christoff_ferland | I'm really sorry, It's a typo, the correct is: $\mu(\{\tau\})=\lim\limits_{N\rightarrow\infty}\sum\limits_{-N}^N\hat \mu(n)e^{in\tau}$. | |
| Feb 28, 2021 at 12:01 | answer | added | Fedor Petrov | timeline score: 7 | |
| Feb 28, 2021 at 11:44 | comment | added | Matthew Daws | Notice that both sides of the stated equation are computing something like an $L^2$-norm. This is not surprising, because it's presumably some form of the Plancherel theorem. Though I do not quite understand it as stated. However, your "hoped for" formula looks very different: a point evaluation one side, and something like an $L^2$-norm on the other. That looks very unlikely to be true. | |
| Feb 28, 2021 at 10:48 | comment | added | Carlo Beenakker | it may help if you give the source more precisely (which corollary of which book? Katznelson's?) | |
| Feb 28, 2021 at 10:40 | review | First posts | |||
| Feb 28, 2021 at 16:01 | |||||
| Feb 28, 2021 at 10:37 | history | asked | Christoff_ferland | CC BY-SA 4.0 |