An analytic characterization of the symmetric extension of a Herglotz-Nevanlinna function in several variables
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arXiv
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866912533334458368 |
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| author | Nedic, Mitja |
| author_facet | Nedic, Mitja |
| contents | In this paper, we derive an analytic characterization of the symmetric extension of a Herglotz-Nevanlinna function in several variables. Here, the main tools used are the so-called variable non-dependence property and the symmetry formula satisfied by Herglotz-Nevanlinna function and Cauchy-type functions. We also provide an extension of the Stieltjes inversion formula for Cauchy-type functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2102_08031 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | An analytic characterization of the symmetric extension of a Herglotz-Nevanlinna function in several variables Nedic, Mitja Complex Variables 32A26, 32A99 In this paper, we derive an analytic characterization of the symmetric extension of a Herglotz-Nevanlinna function in several variables. Here, the main tools used are the so-called variable non-dependence property and the symmetry formula satisfied by Herglotz-Nevanlinna function and Cauchy-type functions. We also provide an extension of the Stieltjes inversion formula for Cauchy-type functions. |
| title | An analytic characterization of the symmetric extension of a Herglotz-Nevanlinna function in several variables |
| topic | Complex Variables 32A26, 32A99 |
| url | https://arxiv.org/abs/2102.08031 |