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

Visa fullständig post



Permalänk

http://hdl.handle.net/10138/334832

Citation

Nedic , M 2021 , ' Characterizations of Herglotz-Nevanlinna Functions Using Positive Semi-Definite Functions and the Nevanlinna Kernel in Several Variables ' , Complex Analysis and Operator Theory , vol. 15 , no. 7 , 109 . https://doi.org/10.1007/s11785-021-01155-x

Titel: Characterizations of Herglotz-Nevanlinna Functions Using Positive Semi-Definite Functions and the Nevanlinna Kernel in Several Variables
Författare: Nedic, Mitja
Upphovmannens organisation: Department of Mathematics and Statistics
Datum: 2021-10
Språk: eng
Sidantal: 29
Tillhör serie: Complex Analysis and Operator Theory
ISSN: 1661-8254
DOI: https://doi.org/10.1007/s11785-021-01155-x
Permanenta länken (URI): http://hdl.handle.net/10138/334832
Abstrakt: 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 Nevanlinna functions in several variables. Furthermore, a characterization of the symmetric extension of a Herglotz-Nevanlinna function is also given. The subclass of Loewner functions is discussed as well, along with an interpretation of the main result in terms of holomorphic functions on the unit polydisk with non-negative real part.
Subject: Herglotz-Nevanlinna functions
Positive semi-definite functions
Poisson-type functions
Nevanlinna kernel
MATRIX FUNCTIONS
OPERATOR
111 Mathematics
Referentgranskad: Ja
Licens: cc_by
Användningsbegränsning: openAccess
Parallelpublicerad version: publishedVersion


Filer under denna titel

Totalt antal nerladdningar: Laddar...

Filer Storlek Format Granska
Nedic2021_Artic ... rizationsOfHerglotzNev.pdf 474.9Kb PDF Granska/Öppna

Detta dokument registreras i samling:

Visa fullständig post