scientific article

zbMath0607.30024MaRDI QIDQ3746071

Pierre Moussa

Publication date: 1986

Full work available at URL: http://www.numdam.org/item?id=AIHPA_1986__44_3_315_0

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Padé approximantsJulia setBrolin's equilibrium measure

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Topological spaces of dimension (leq 1); curves, dendrites (54F50) Capacity and harmonic measure in the complex plane (30C85) Real rational functions (26C15)

Related Items

Function weighted measures and orthogonal polynomials on Julia sets, Orthogonal Polynomials on Several Intervals Via a Polynomial Mapping, Block orthogonal systems for symmetric \(P\)-forms

Cites Work

• Orthogonality properties of iterated polynomial mappings
• On the invariant sets of a family of quadratic maps
• A family of almost periodic Schrödinger operators
• Mellin transforms associated with Julia sets and physical applications
• Orthogonal polynomials on a family of Cantor sets and the problem of iterations of quadratic mappings
• Invariant sets under iteration of rational functions
• Some connections between ergodic theory and the iteration of polynomials
• Complex analytic dynamics on the Riemann sphere
• Infinite-Dimensional Jacobi Matrices Associated with Julia Sets
• Geometry, electrostatic measure and orthogonal polynomials on Julia sets for polynomials
• Orthogonal polynomials associated with invariant measures on Julia sets
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