Article
| Title: | An analytic characterization of the symmetric extension of a Herglotz-Nevanlinna function (English) |
| Author: | Nedic, Mitja |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 73 |
| Issue: | 1 |
| Year: | 2023 |
| Pages: | 117-134 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | 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. (English) |
| Keyword: | Herglotz-Nevanlinna function |
| Keyword: | Cauchy-type function |
| Keyword: | symmetric extension |
| Keyword: | Stieltjes inversion formula |
| MSC: | 32A36 |
| MSC: | 32A99 |
| idZBL: | Zbl 07655758 |
| idMR: | MR4541092 |
| DOI: | 10.21136/CMJ.2022.0455-21 |
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| Date available: | 2023-02-03T11:09:11Z |
| Last updated: | 2023-09-13 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/151507 |
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