Abstract
Denote by 
the Poisson measure associated to a positive Radon measure Q on a locally compact space countable at infinity. If Q is bounded, 
can be expressed as a power series in Q. If Q becomes non-bounded this expansion beeps its sense at least for some 
-integrable functions (Theorem). These functions can be explicitly characterized (Additional Remark).
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Literature
Waldenfels, W. von Zur mathematischen Theorie der Druckverbreiterung von Spektrallinien. Z. Wahrscheinlichkeitstheorie verw. Geb. 6, 65–112 (1966).
Waldenfels, W. von Zur mathematischen Theorie der Druckverbreiterung von Spektrallinien. II. Z. Wahrscheinlichkeitstheorie verw. Geb. 13, 39–59 (1969).
Waldenfels, W. von Charakteristische Funktionale zufÄlliger Ma\e. Z. Wahrscheinlich-keitstheorie verw. Geb. 10, 279–283 (1968).
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© 1974 Springer-Verlag
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von Waldenfels, W. (1974). Taylor expansion of a poisson measure. In: Séminaire de Probabilités VIII Université de Strasbourg. Lecture Notes in Mathematics, vol 381. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0057274
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DOI: https://doi.org/10.1007/BFb0057274
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