Coefficient body for nonlinear resolvents | Zendy

Mark Elin | Zendy; Fiana Jacobzon | Zendy

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Coefficient body for nonlinear resolvents

Author(s) -

Mark Elin,

Fiana Jacobzon

Publication year - 2020

Publication title -

annales universitatis mariae curie-sklodowska 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.

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