Open AccessCoefficient body for nonlinear resolvents
Author(s) -
Mark Elin,
Fiana Jacobzon
Publication year - 2020
Publication title -
annales universitatis mariae curie-skłodowska. sectio a, mathematica
Language(s) - English
Resource type - Journals
eISSN - 2083-7402
pISSN - 0365-1029
DOI - 10.17951/a.2019.73.2.45-57
Subject(s) - resolvent , nonlinear system , polynomial , construct (python library) , mathematics , class (philosophy) , zero (linguistics) , pure mathematics , unit (ring theory) , mathematical analysis , computer science , physics , mathematics education , programming language , artificial intelligence , linguistics , philosophy , quantum mechanics
This paper is devoted to the study of families of so-called nonlinear resolvents. Namely, we construct polynomial transformations which map the closed unit polydisks onto the coefficient bodies for the resolvent families. As immediate applications of our results we present a covering theorem and a sharp estimate for the Schwarzian derivative at zero on the class of resolvents.