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Product Borel measures in the plane satisfying a certain positivity condition Nedic, Mitja


Certain Borel measures in the plane appear as representing parameters for classes of holomorphic functions with non-negative real or imaginary part. Such measures must satisfy a positivity condition which constitutes a severe restriction within the set of Borel measures. $$ $$ In this talk, we will give a characterization of all product measures satisfying the positivity condition that characterizes representing measures of holomorphic functions of two variables with non-negative imaginary part.

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