A characterization of Herglotz-Nevanlinna functions in two variables via integral representations

Published 20 May 2016 in math.CV | (1605.06232v3)

Abstract: We derive an integral representation for Herglotz-Nevanlinna functions in two variables which provides a complete characterization of this class in terms of a real number, two non-negative numbers and a positive measure satisfying certain conditions. Further properties of the representing measures are discussed.

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