Timeline for A singular integral of several functions
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
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| Apr 5, 2016 at 20:06 | comment | added | Funktorality | For $n$ functions one can write $H(f_1,\ldots,f_n)=\frac{i^n}{n!}D_y^{n-1}sgn(D_y)\prod_{i=1}^n(f_i(x)-f_i(y))$. | |
| Apr 5, 2016 at 17:18 | comment | added | Funktorality | The addendum looks like what I was hoping for, thanks! | |
| Apr 5, 2016 at 17:18 | vote | accept | Funktorality | ||
| Apr 5, 2016 at 12:18 | history | edited | Iosif Pinelis | CC BY-SA 3.0 |
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| Apr 5, 2016 at 12:07 | history | edited | Iosif Pinelis | CC BY-SA 3.0 |
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| Apr 5, 2016 at 11:58 | comment | added | Iosif Pinelis | I have added an explanation of how to express $T(f_1,\dots,f_n)$ in terms of the $(n-1)$th derivative of the Hilbert transform. | |
| Apr 5, 2016 at 11:55 | history | edited | Iosif Pinelis | CC BY-SA 3.0 |
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| Apr 4, 2016 at 23:11 | comment | added | Funktorality | That's the one. Maybe I can write this integral in that form. | |
| Apr 4, 2016 at 22:08 | comment | added | Iosif Pinelis | Do you mean like formula (12) in Coifman et al.? There you need to differentiate an approximate $\epsilon$-Hilbert transform $n$ times and then let $\epsilon\to0$. | |
| Apr 4, 2016 at 21:26 | comment | added | Funktorality | I see, that seems to work. I'm still wondering though if you can write it in terms of Hilbert transforms. | |
| Apr 4, 2016 at 20:58 | history | answered | Iosif Pinelis | CC BY-SA 3.0 |