36 citations · 73 across the 11 of their papers we have counts for
12 papers
Operator representations of Herglotz-Nevanlinna functions in several variables
Erik Avelin, Mitja Nedic
In this paper, we present an operator representation for Herglotz-Nevanlinna functions in several variables using self-adjoint linear relations. Moreover, a description of the repr…
On the structure of Nevanlinna measures
Mitja Nedic, Eero Saksman
In this paper, we study the structural properties of Nevanlinna measures, i.e. Borel measures that arise in the integral representation of Herglotz-Nevanlinna functions. In particu…
An analytic characterization of the symmetric extension of a Herglotz-Nevanlinna function in several variables
Mitja Nedic
In this paper, we derive an analytic characterization of the symmetric extension of a Herglotz-Nevanlinna function in several variables. Here, the main tools used are the so-called…
Characterizations of Herglotz-Nevanlinna functions using positive semi-definite functions and the Nevanlinna kernel in several variables
Mitja Nedic
In this paper, we give several characterizations of Herglotz-Nevanlinna functions in terms of a specific type of positive semi-definite functions called Poisson-type functions. Thi…
Characterizations of the Lebesgue measure and product measures related to holomorphic functions having non-negative imaginary or real part
Mitja Nedic
In this paper, we study a class of Borel measures on that arises as the class of representing measures of Herglotz-Nevanlinna functions. In particular, we study prod…
On quasi-Herglotz functions in one variable
Annemarie Luger, Mitja Nedic
In this paper, the class of (complex) quasi-Herglotz functions is introduced as the complex vector space generated by the convex cone of ordinary Herglotz functions. We prove chara…
Geometric properties of measures related to holomorphic functions having positive imaginary or real part
Annemarie Luger, Mitja Nedic
In this paper, we study the properties of a certain class of Borel measures on that arise in the integral representation of Herglotz-Nevanlinna functions. In particu…
Quasi-Herglotz functions and convex optimization
Yevhen Ivanenko, Mitja Nedic, Mats Gustafsson +3
We introduce the set of quasi-Herglotz functions and demonstrate that it has properties useful in the modeling of non-passive systems. The linear space of quasi-Herglotz functions…
On pseudo-passive causal operators of slow growth
Mitja Nedic
In this paper, we study a class of convolution operators on the space of distributions that enlarge the well-studied class of passive operators. In this larger class, we are able t…
A subclass of boundary measures and the convex combination problem for Herglotz-Nevanlinna functions in several variables
Mitja Nedic
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 c…
An integral representation for Herglotz-Nevanlinna functions in several variables
Annemarie Luger, Mitja Nedic
In this article, a characterization of the class of Herglotz-Nevanlinna functions in variables is given in terms of an integral representation. Furthermore, alternative conditi…
A characterization of Herglotz-Nevanlinna functions in two variables via integral representations
Annemarie Luger, Mitja Nedic
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-…