Geodesic
An analytic characterization of the symmetric extension of a Herglotz-Nevanlinna function
Czechoslovak Mathematical Journal, Tome 73 (2023) no. 1, pp. 117-134 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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 
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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

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