Timeline for Convergence of an oscillatory integral
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
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| Nov 16, 2015 at 11:09 | comment | added | Capublanca | My hypothesis is $f\in H^1$, and as shown by Fan Zheng this guarantees the convergence of the integral. Of course the oscillatory effect becomes smaller as $t\rightarrow \infty$, and this produces a growth in $t$. I want to understand which is the optimal growth. | |
| Nov 14, 2015 at 19:16 | comment | added | Fan Zheng | Why is it not related? As long as $t>0$ (or equivalently $h>0$), there IS some oscillation in the exponential that you can make use of. Of course that oscillation becomes slower and slower when $t\to\infty$ (equivalently $h\to 0$), but it is expected by the OP. | |
| Nov 14, 2015 at 16:05 | history | answered | Bazin | CC BY-SA 3.0 |