Characterizations of Herglotz–Nevanlinna Functions Using Positive Semi-Definite Functions and the Nevanlinna Kernel in Several Variables

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. This allows us to propose a multidimensional analogue of the classical Nevanlinna kernel and a definition of generalized Ne...

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Veröffentlicht in:	Complex analysis and operator theory Jg. 15; H. 7
1. Verfasser:	Nedic, Mitja
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Cham Springer International Publishing 01.10.2021 Springer Nature B.V
Schlagworte:	Analysis Analytic functions Higher Dimensional Geometric Function Theory and Hypercomplex Analysis Kernels Mathematical analysis Mathematics Mathematics and Statistics Operator Theory Positive semi-definite functions Poisson-type functions 32A36 Nevanlinna kernel 32A99 Herglotz–Nevanlinna functions
ISSN:	1661-8254, 1661-8262
Online-Zugang:	Volltext
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