Polynomials with exponents in compact convex sets and associated weighted extremal functions -- Generalized product property}

Authors

  • Bergur Snorrason

DOI:

https://doi.org/10.7146/math.scand.a-147788

Abstract

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.

References

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Magnússon, B. S., Sigurðardóttir, Á. E., Sigurðsson, R., and Snorrason, B., Polynomials with exponents in compact convex sets and associated weighted extremal functions – Fundamental results, arXiv:2305.04779v3 (2023).

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Published

2024-11-04

How to Cite

Snorrason, B. (2024). Polynomials with exponents in compact convex sets and associated weighted extremal functions -- Generalized product property}. MATHEMATICA SCANDINAVICA, 130(3). https://doi.org/10.7146/math.scand.a-147788

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Section

Articles