Polynomials with exponents in compact convex sets and associated weighted extremal functions -- Generalized product property
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866918294034841600 |
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| author | Snorrason, Bergur |
| author_facet | Snorrason, Bergur |
| contents | A famous result of Siciak is how the Siciak-Zakharyuta functions, sometimes called global extremal functions or pluricomplex Green functions with a pole at infinity, of two sets relate to the Siciak-Zakharyuta function of their cartesian product. In this paper Siciak's result is generalized to the setting of Siciak-Zakharyuta functions with growth given by a compact convex set, along with discussing why this generalization does not work in the weighted setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_18728 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Polynomials with exponents in compact convex sets and associated weighted extremal functions -- Generalized product property Snorrason, Bergur Complex Variables 32U35 (Primary), 32A08, 32U15 (Secondary) A famous result of Siciak is how the Siciak-Zakharyuta functions, sometimes called global extremal functions or pluricomplex Green functions with a pole at infinity, of two sets relate to the Siciak-Zakharyuta function of their cartesian product. In this paper Siciak's result is generalized to the setting of Siciak-Zakharyuta functions with growth given by a compact convex set, along with discussing why this generalization does not work in the weighted setting. |
| title | Polynomials with exponents in compact convex sets and associated weighted extremal functions -- Generalized product property |
| topic | Complex Variables 32U35 (Primary), 32A08, 32U15 (Secondary) |
| url | https://arxiv.org/abs/2404.18728 |