Mark
Reputation
1,229
Next privilege 2,000 Rep.
 1d awarded Popular Question Apr 3 revised Scaling factor and weights in Unscented Transform (UKF) added 158 characters in body Apr 3 revised Scaling factor and weights in Unscented Transform (UKF) deleted 152 characters in body, correcting errors in my own understanding Apr 3 revised Scaling factor and weights in Unscented Transform (UKF) deleted 152 characters in body Apr 3 revised Scaling factor and weights in Unscented Transform (UKF) added 1 character in body Apr 2 answered Scaling factor and weights in Unscented Transform (UKF) Mar 31 awarded Popular Question Jan 6 awarded Informed Jan 3 revised Relationship between decay of Fourier transform and smoothness in $L^2$ added 86 characters in body Jan 3 accepted Relationship between decay of Fourier transform and smoothness in $L^2$ Jan 3 comment Relationship between decay of Fourier transform and smoothness in $L^2$ actually can you elaborate on the proof that $\xi \hat{f} \in L^1$? Jan 3 comment Relationship between decay of Fourier transform and smoothness in $L^2$ Incidentally, integrability lets me complete my method as well via Fubini theorem. Thanks! Jan 3 comment Relationship between decay of Fourier transform and smoothness in $L^2$ Also, the integral is not a standard integral, but it is an $L^2$ limit of functions of $y$ Jan 3 comment Relationship between decay of Fourier transform and smoothness in $L^2$ How do you show that $L \xi \hat{f}(\xi)$ is integrable? Jan 3 revised Relationship between decay of Fourier transform and smoothness in $L^2$ added 403 characters in body Jan 3 comment Relationship between decay of Fourier transform and smoothness in $L^2$ Using which dominating function? Jan 3 asked Relationship between decay of Fourier transform and smoothness in $L^2$ Dec 29 accepted Computing an infinite trigonometric sum $\sum \frac{2}{n^2 \pi^2} \cos(n \pi x)\cos(n \pi y)$ Dec 23 comment Computing an infinite trigonometric sum $\sum \frac{2}{n^2 \pi^2} \cos(n \pi x)\cos(n \pi y)$ Since we know G(x,y) to be doubly periodic on the plane, we may as well flip your triangle on the line x=y. Then we will have deduced the function for the region y <= x. I think this finishes the question. I have also found the answer using my book's method and I added it as an edit. Dec 23 revised Computing an infinite trigonometric sum $\sum \frac{2}{n^2 \pi^2} \cos(n \pi x)\cos(n \pi y)$ added 501 characters in body