2 problems

Scattering convergence and continuity conjecture. Condition $$ holds for all $f\in {\bf L}^1({{\mathbb{R}}}^d)$. Moreover, if $f\in {\bf L}^1({{\mathbb{R}}}^d)$, then…

Gaussian consistency conjecture. If $X$ is a Gaussian stationary process with $\|RX\|_1<\infty$, then $S_J[\mathcal P_J]X$ is a mean-square consistent estimator of $\overline S X$.…