3 papers
math.DS2024
An inverse problem in Pólya--Schur theory. II. Exactly solvable operators and complex dynamics
Per Alexandersson, Nils Hemmingsson, Boris Shapiro
This paper, being the sequel of [An inverse problem in Polya-Schur theory. I. Non-genegerate and degenerate operators], studies a class of linear ordinary differential operators wi…
math.DS2024
On boundary points of minimal continuously Hutchinson invariant sets
Per Alexandersson, Nils Hemmingsson, Dmitry Novikov +2
A linear differential operator with polynomial coefficients defines a continuous family of Hutchinson operators when acting on the space of positive power…
math.CA2024★ 1 cited
An inverse problem in Polya-Schur theory. I. Non-genegerate and degenerate operators
Per Alexandersson, Petter Brändén, Boris Shapiro
Given a linear ordinary differential operator T with polynomial coefficients, we study the class of closed subsets of the complex plane such that T sends any polynomial (resp. any…