Geodesic
An analytic characterization of the symmetric extension of a Herglotz-Nevanlinna function
Czechoslovak Mathematical Journal, Tome 73 (2023) no. 1, pp. 117-134.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We derive an analytic characterization of the symmetric extension of a Herglotz-Nevanlinna function. Here, the main tools used are the so-called variable non-dependence property and the symmetry formula satisfied by Herglotz-Nevanlinna and Cauchy-type functions. We also provide an extension of the Stieltjes inversion formula for Cauchy-type and quasi-Cauchy-type functions.
DOI : 10.21136/CMJ.2022.0455-21
Classification : 32A36, 32A99
Keywords: Herglotz-Nevanlinna function; Cauchy-type function; symmetric extension; Stieltjes inversion formula 
@article{10_21136_CMJ_2022_0455_21,
     author = {Nedic, Mitja},
     title = {An analytic characterization of the symmetric extension of a {Herglotz-Nevanlinna} function},
     journal = {Czechoslovak Mathematical Journal},
     pages = {117--134},
     publisher = {mathdoc},
     volume = {73},
     number = {1},
     year = {2023},
     doi = {10.21136/CMJ.2022.0455-21},
     mrnumber = {4541092},
     zbl = {07655758},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2022.0455-21/}
}
TY  - JOUR
AU  - Nedic, Mitja
TI  - An analytic characterization of the symmetric extension of a Herglotz-Nevanlinna function
JO  - Czechoslovak Mathematical Journal
PY  - 2023
SP  - 117
EP  - 134
VL  - 73
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2022.0455-21/
DO  - 10.21136/CMJ.2022.0455-21
LA  - en
ID  - 10_21136_CMJ_2022_0455_21
ER  - 
%0 Journal Article
%A Nedic, Mitja
%T An analytic characterization of the symmetric extension of a Herglotz-Nevanlinna function
%J Czechoslovak Mathematical Journal
%D 2023
%P 117-134
%V 73
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2022.0455-21/
%R 10.21136/CMJ.2022.0455-21
%G en
%F 10_21136_CMJ_2022_0455_21
Nedic, Mitja. An analytic characterization of the symmetric extension of a Herglotz-Nevanlinna function. Czechoslovak Mathematical Journal, Tome 73 (2023) no. 1, pp. 117-134. doi : 10.21136/CMJ.2022.0455-21. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2022.0455-21/

Cité par Sources :