Poisson measures on semi-direct products of infinite-dimensional Hilbert spaces

Let \(G=X\rtimes A\) where X and A are Hilbert spaces considered as additive groups and the A-action on G is diagonal in some orthonormal basis. We consider a particular second order left-invariant differential operator L on G which is analogous to the Laplacian on \(\mathbb{R}^n\). We prove the exi...

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Veröffentlicht in:	Electronic journal of differential equations 2022-01, Vol.2022 (1-87), p.4
Hauptverfasser:	Penney, Richard C., Urban, Roman
Format:	Artikel
Sprache:	eng
Online-Zugang:	Volltext
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