A subclass of boundary measures and the convex combination problem for Herglotz-Nevanlinna functions in several variables
arXiv:1711.01102 · doi:10.14232/actasm-018-040-1
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.
24 pages, 2 figures
References in corpus (2)
Cited by in corpus (4)
- Geometric properties of measures related to holomorphic functions having positive imaginary or real part
- On the structure of Nevanlinna measures
- Characterizations of Herglotz-Nevanlinna functions using positive semi-definite functions and the Nevanlinna kernel in several variables
- Characterizations of the Lebesgue measure and product measures related to holomorphic functions having non-negative imaginary or real part