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Published in:
1988 | OriginalPaper | Chapter
On the Poisson Equation on the Infinite Dimensional Torus
Authors : Alexander D. Bendikov, Igor V. Pavlov
Published in: Potential Theory
Publisher: Springer US
Included in: Professional Book Archive
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Let {μt}t>0 be the Wiener semigroup on the infinite dimensional torus T∞ (cf. Heyer,5 Ch. 5). Let us consider the Green measure $$G(dy) = \int\limits_0^\infty {e^{ - t} \mu _t (dy)dt}$$.