6 problems

Let $M:=M_1\times\ldots\times M_n$ be the product of at least two compact Riemannian manifolds without boundary, and let $d$ be its dimension. Denote by $N_M(\lambda)$ the eigenval…

Let $\widehat{\sigma}_{1,n}^2$ be the maximum likelihood estimator under a misspecified decay parameter, and let $C_{\nu,\alpha_i}$ denote the Matérn normalization constants for pa…

Let $M$ be a compact Riemannian manifold, and consider non-parametric regression on $M$ together with the corresponding Gaussian white noise experiment. The manifold extension conj…

Let $M$ be a Riemannian manifold whose local geometry is somewhat uniformly controlled, and consider the local Hardy-space constructions on $M$ obtained by analogues of the Euclide…

Let $M$ be an arbitrary complete connected Riemannian manifold, let $B(o,r)$ denote the geodesic ball centered at $o$, let $\mu$ be the Riemannian measure, let $G(x,o)$ be the Gree…

Let $M$ be an arbitrary complete connected Riemannian manifold, let $B(o,r)$ denote the geodesic ball of radius $r$ centered at $o$, let $cmu$ be the Riemannian measure, let $q$ be…