4 problems

Exponential-growth conjecture. The function $M$ grows exponentially as $x\to\infty$. This model arises from numerical analytic continuation and asks how rapidly a band-limited func…

Let $L$ be a nonnegative integer, let $V=\left(\bigoplus_{\ell=0}^{L}V_\ell\right)^R$ be the corresponding representation, and let the third moment be the invariant obtained by int…

Let $f=f_{\alpha;T}$ be a band-limited Gaussian function on an $n$-dimensional compact manifold, with $n\geq 2$ and $\alpha\leq 1$, and let $\Psi_{n;\alpha}$ be the limiting distri…

The cube-CIS recovery conjecture. There exists $\omega(n)>0$ such that the interpolation operator $I_\alpha$ associated to $g_\alpha$ admits the use of CISs for cubes in…