Timeline for Commutator of translation invariant operators on $L^2(\mathbb{R})$
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Mar 26, 2020 at 13:54 | comment | added | Nik Weaver | "Is there a way to see ...?" --- in principle, yes, but I think you'd have to build up a lot of machinery that's immediately available for multiplication operators. "How can one use this?" --- sorry, I don't understand, use it for what? | |
| Mar 26, 2020 at 10:20 | comment | added | Lenard Velasquez | Thank you for the clarification. Is there a way to see that $\mathcal{A}'=\mathcal{A}$ without using the Fourier transform? In fact one has that if I apply the Fourier transform to $\mathcal{A}$ this space becomes $L^{\infty}(\mathbb{R})$. How can one use this? | |
| Mar 19, 2020 at 13:48 | comment | added | Nik Weaver | (I.e., $\mathcal{A}' = \mathcal{A}$.) | |
| Mar 19, 2020 at 13:05 | history | answered | Nik Weaver | CC BY-SA 4.0 |