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Abstract. In this paper, we begin by investigating a particular subclass of boundary measures of Herglotz--Nevanlinna functions in two variables. Based on this, we then proceed to solve the convex combination problem for Herglotz--Nevanlinna functions in several variables.
DOI: 10.14232/actasm-018-040-1
AMS Subject Classification
(1991): 32A26, 32A10, 32A99
Keyword(s):
integral representation,
Herglotz--Nevanlinna function,
several complex variables,
convex combination
Received April 24, 2018 and in final form April 11, 2019. (Registered under 40/2018.)
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