Representation of complex probabilities

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Representation of Complex Probabilities

Let a “complex probability” be a normalizable complex distribution P (x) defined on R. A real and positive probability distribution p(z), defined on the complex plane C, is said to be a positive representation of P (x) if 〈Q(x)〉P = 〈Q(z)〉p, where Q(x) is any polynomial in R D and Q(z) its analytical extension on C. In this paper it is shown that every complex probability admits a real represent...

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ژورنال

عنوان ژورنال: Journal of Mathematical Physics

سال: 1997

ISSN: 0022-2488,1089-7658

DOI: 10.1063/1.531906