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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Bibliographic Details

Published in:	Complex analysis and operator theory Vol. 15; no. 7
Main Author:	Nedic, Mitja
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01.10.2021 Springer Nature B.V
Subjects:	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 Access:	Get full text
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