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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.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…