Timeline for Average size of the Fourier--Stieltjes transform of the fractal measures
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Oct 19, 2023 at 18:36 | vote | accept | Subhajit Jana | ||
| Oct 19, 2023 at 13:24 | comment | added | Christian Remling | @SubhajitJana: It does look arbitrary, but it's a basic notion in potential theory (or rather a generalized version of this here), it's called the $s$ energy of $\mu$. It gives an idea of how small a set $C$ is when one minimizes $I_s(\mu)$ over all probability measures $\mu$ supported by $C$. It's easier to keep $I_s(\mu)$ finite for a larger set since one can try a spread out $\mu$. | |
| Oct 19, 2023 at 7:30 | comment | added | Subhajit Jana | Thanks! I am not an expert in this field. What is the motivation behind considering the double integral in the first display? A priori, it seems to be quite ad hoc. | |
| Oct 19, 2023 at 5:21 | history | edited | Christian Remling | CC BY-SA 4.0 |
added 52 characters in body
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| Oct 18, 2023 at 22:51 | history | answered | Christian Remling | CC BY-SA 4.0 |