Timeline for Smoothness and decay correspondence for Laplace transform
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Sep 10, 2020 at 0:17 | comment | added | Sridhar Ramesh | Thanks! I've found the result there. I realize this was a very basic question to ask on MathOverflow, but I didn't know the answer, and now I do! | |
| Sep 9, 2020 at 22:06 | comment | added | Alexandre Eremenko | Any book which treats Laplace transform. For example Folland, Fourier Analysis. | |
| Sep 9, 2020 at 17:14 | comment | added | Sridhar Ramesh | Oh, that's a great criterion, thanks! Where can I find a reference with more details on this? | |
| Sep 9, 2020 at 13:04 | comment | added | Alexandre Eremenko | The decay rate of Laplace transform is related to the behavior of function near 0, but not to smoothness at other points. For example, vanishing of $f$ to order $a$ at $0$ implies $|Lf(s)|<Cs^{-a-1},\; s\to+\infty$. Vanishing of $f$ on an interval near zero is equivalent to exponential decay of the Laplace transform. | |
| Sep 8, 2020 at 20:44 | history | asked | Sridhar Ramesh | CC BY-SA 4.0 |