Generalized ‘second Ritt theorem’ and explicit solution of the polynomial moment problem
From MaRDI portal
Publication:4923468
DOI10.1112/S0010437X12000620zbMath1273.30024arXiv0908.2508OpenAlexW2962920694MaRDI QIDQ4923468
Publication date: 24 May 2013
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0908.2508
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Moment problems and interpolation problems in the complex plane (30E05)
Related Items
On Numbers in Different Bases: Symmetries and a Conjecture ⋮ Moment vanishing problem and positivity: some examples ⋮ Parametric center-focus problem for Abel equation ⋮ On decompositions of trigonometric polynomials ⋮ Solution of the parametric center problem for the Abel differential equation ⋮ Algebraic geometry of the center-focus problem for Abel differential equations ⋮ Algebraic geometry of Abel differential equation
Cites Work
- Center conditions at infinity for Abel differential equations
- Prime and composite Laurent polynomials
- On the polynomial moment problem
- Center conditions. II: Parametric and model center problems
- Center conditions. III: Parametric and model center problems
- Cauchy-type integrals of algebraic functions
- On polynomials orthogonal to all powers of a Chebyshev polynomial on a segment
- On polynomials orthogonal to all powers of a given polynomial on a segment
- Jordan-Hölder theorem for imprimitivity systems and maximal decompositions of rational functions
- Solution of the polynomial moment problem
- Center conditions, compositions of polynomials and moments on algebraic curves
- Une approche au problème du centre-foyer de Poincaré
- Abel Equations: Composition Conjectures and the Model Problem
- A counterexample to the “composition conjecture"
- Polynomial Substitutions