Sample paths properties of Gaussian fields with equivalent spectral densities

Abstract

We prove that if $X$ and $Y$ are two Gaussian fields with equivalent spectral densities, they have the same sample paths properties in any separable Banach space continuously embedded in ${\mathcal{C}}^0(K)$ where $K$ is a compact set of ${\mathbb{R}}^d$.

Cited by in corpus (1)

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