An analytic characterization of the symmetric extension of a Herglotz-Nevanlinna function

Mitja Nedic

Czechoslovak Mathematical Journal (2023)

  • Volume: 73, Issue: 1, page 117-134
  • ISSN: 0011-4642

Abstract

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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.

How to cite

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Nedic, Mitja. "An analytic characterization of the symmetric extension of a Herglotz-Nevanlinna function." Czechoslovak Mathematical Journal 73.1 (2023): 117-134. <http://eudml.org/doc/299350>.

@article{Nedic2023,
abstract = {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.},
author = {Nedic, Mitja},
journal = {Czechoslovak Mathematical Journal},
keywords = {Herglotz-Nevanlinna function; Cauchy-type function; symmetric extension; Stieltjes inversion formula},
language = {eng},
number = {1},
pages = {117-134},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {An analytic characterization of the symmetric extension of a Herglotz-Nevanlinna function},
url = {http://eudml.org/doc/299350},
volume = {73},
year = {2023},
}

TY - JOUR
AU - Nedic, Mitja
TI - An analytic characterization of the symmetric extension of a Herglotz-Nevanlinna function
JO - Czechoslovak Mathematical Journal
PY - 2023
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 73
IS - 1
SP - 117
EP - 134
AB - 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.
LA - eng
KW - Herglotz-Nevanlinna function; Cauchy-type function; symmetric extension; Stieltjes inversion formula
UR - http://eudml.org/doc/299350
ER -

References

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