Orthogonal polynomials on a family of Cantor sets and the problem of iterations of quadratic mappings

DOI10.1007/BF00401737zbMath0483.33006OpenAlexW1964466359MaRDI QIDQ1163141

Madan Lal Mehta, Daniel Bessis, Pierre Moussa

Publication date: 1982

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00401737

zbMATH Keywords

crystallographic Schrödinger equationinvariant transformations for the integer moment problemiterations of quadratic mappingsorthogonal polynomials on a family of Cantor sets

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Moment problems (44A60) Iteration of real functions in one variable (26A18)

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Cites Work

• Quantitative universality for a class of nonlinear transformations
• The Diophantine moment problem and the analytic structure in the activity of the ferromagnetic Ising model
• Unnamed Item
• Unnamed Item

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