Shifted moments of Gaussian measures in Hilbert spaces

Werner Linde

If H is a Hilbert space, then a measure $\mu$ is completely described by the function

$\text{[math]}$

provided that $p≠2,4,6,\ldots$ .We prove that for Gaussian measures on a Hilbert space H this is valid for all $p>0$ with $p≠ 2$ .

DOI Code: 10.1285/i15900932v6n2p273

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Note di Matematica