Timeline for Uniqueness of Fourier–Stieltjes transform for finite complex valued measures
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Jan 9, 2023 at 0:26 | comment | added | Yemon Choi | As a variant on Vincius Novelli's answer: instead of using the Schwarz class, note that VN's argument actually proves that if $\mu$ is a finite measure on ${\mathbb R}$ then it annihilates every $f\in C_0({\mathbb R})$ which is the (inverse) Fourier transform of an $L^1$-function on $\widehat{\mathbb R}$. The class of all such $f$ is denoted by $A({\mathbb R})$, this is the Fourier algebra of ${\mathbb R}$, which is known to be dense in $C_0({\mathbb R})$ using e.g. Stone-Weierstrass. One advantage of this approach is that it works on any locally compact abelian group. | |
| Jan 8, 2023 at 14:32 | vote | accept | Boby | ||
| Jan 7, 2023 at 18:31 | review | Close votes | |||
| Jan 23, 2023 at 3:05 | |||||
| Jan 7, 2023 at 16:09 | answer | added | Vinícius Novelli | timeline score: 4 | |
| Jan 7, 2023 at 16:05 | history | edited | Daniele Tampieri | CC BY-SA 4.0 |
Minor Math Jaxing + fixed typos
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| Jan 7, 2023 at 15:19 | history | asked | Boby | CC BY-SA 4.0 |