On the trigonometric moment problem

DOI10.1017/etds.2012.143zbMath1291.37085arXiv1108.0172OpenAlexW2962914304MaRDI QIDQ5408725

Amelia Álvarez, J. L. Bravo, Colin Christopher

Publication date: 11 April 2014

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.0172

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (5)

Infinitesimal center problem on zero cycles and the composition conjecture ⋮ Weak and strong composition conditions for the Abel differential equation ⋮ Parametric center-focus problem for Abel equation ⋮ On decompositions of trigonometric polynomials ⋮ Algebraic geometry of the center-focus problem for Abel differential equations

Cites Work

• Unnamed Item
• The monodromy problem and the tangential center problem
• Moment vanishing problem and positivity: some examples
• The infinitesimal 16th Hilbert problem in dimension zero
• Center conditions at infinity for Abel differential equations
• Prime and composite Laurent polynomials
• Center conditions. II: Parametric and model center problems
• Cauchy-type integrals of algebraic functions
• On polynomials orthogonal to all powers of a Chebyshev polynomial on a segment
• Solution of the polynomial moment problem
• Center conditions, compositions of polynomials and moments on algebraic curves
• Abel Equations: Composition Conjectures and the Model Problem

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