Málstofa: Bergur Snorrason

Næsta málstofa verður þriðjudaginn 14. febrúar kl 13:20 í Naustinu, húsi Endurmenntunar.
Fyrirlesari er Bergur Snorrason, Háskóla Íslands.
Titill fyrirlestrarins er Growth of plurisubharmonic functions and multivariate polynomials.

Ágrip: A common tool in pluripotential theory are extremal functions. One type of extremal functions are the Siciak-Zakharyuta functions. The Bernstein-Walsh theorem describes how these functions relate analytic continuation to polynomial approximations. The subject of discussion will be a generalization of the Siciak-Zakharyuta extremal function which leads to a generalization of the Bernstein-Walsh theorem. This generalization is achieved by focusing on plurisubharmonic functions that grow like logarithmic supporting functions of a convex compact set, instead of simply considering logarithmic growth.