Stable recovery of fractal measures by polynomial sampling

DOI10.1016/0167-2789(91)90040-GzbMath0717.41014MaRDI QIDQ2638455

Stephen Demko, Daniel Bessis

Publication date: 1991

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

applicationsiterated function systemsError boundsvibrational energy of a face centered cubic crystal

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Probabilistic measure theory (60A10) Fractals (28A80) Approximation by polynomials (41A10)

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A stable Stieltjes technique for computing orthogonal polynomials and Jacobi matrices associated with a class of singular measures, Fractal calculus on [0,1], Direct and inverse computation of Jacobi matrices of infinite iterated function systems, CT-scans of fractal and non fractal measures in the plane coded by affine homogeneous iterated function systems, Dynamical systems and numerical analysis: The study of measures generated by uncountable I.F.S., ``Missing moment and perturbative methods for polynomial iterated function systems, Fractal measures and polynomial sampling: I.F.S.-Gaussian integration, Quantum intermittency in almost-periodic lattice systems derived from their spectral properties, ITERATED FUNCTION SYSTEMS WITH PLACE-DEPENDENT PROBABILITIES AND THE INVERSE PROBLEM OF MEASURE APPROXIMATION USING MOMENTS

Cites Work

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