Timeline for Scaling of double convolution
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| May 10, 2021 at 20:12 | comment | added | Iosif Pinelis | @GiorgioMetafune : Good point! | |
| May 10, 2021 at 13:53 | comment | added | Giorgio Metafune | Using $|x|+\epsilon |x-w| \geq (1-\epsilon)|x| +\epsilon |w|$, for $\epsilon <1$ twice (one for the integral in $dx_2$, the other for $dx_3$), one gets $F(x_1,x_4) \leq \frac{C}{(1-\epsilon)^2 }e^{-\epsilon |x_1-x_4|}$. | |
| May 10, 2021 at 13:40 | comment | added | Iosif Pinelis | @MichaelEngelhardt : Thank you for your comment. | |
| May 10, 2021 at 2:41 | comment | added | Michael Engelhardt | I reproduce this result. $\epsilon $ has to satisfy the constraint $1+\epsilon >0$ for $F(x_1,x_4)$ to converge. | |
| May 10, 2021 at 2:24 | vote | accept | Kung Yao | ||
| May 10, 2021 at 2:20 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
added 584 characters in body
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| May 10, 2021 at 1:53 | comment | added | Iosif Pinelis | @KungYao : I did not say that there would be no decay -- but the original version of your question allowed even for growth. | |
| May 10, 2021 at 1:30 | comment | added | Kung Yao | are you sure there is no decay as $\vert x_1 -x_4 \vert$ become large? | |
| May 10, 2021 at 1:20 | history | answered | Iosif Pinelis | CC BY-SA 4.0 |