The asymptotic behaviour of the Fourier transforms of orthogonal polynomials. I: Mellin transform techniques

DOI10.1007/s00023-006-0308-2zbMath1215.42032OpenAlexW2021254391MaRDI QIDQ879904

Giorgio Mantica, Sandro Vaienti

Publication date: 10 May 2007

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00023-006-0308-2

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

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Chromatic expansions in function spaces ⋮ Chromatic derivatives and expansions with weights ⋮ Numerical quadrature for singular integrals on fractals ⋮ Direct and inverse computation of Jacobi matrices of infinite iterated function systems ⋮ Orthogonal polynomials of equilibrium measures supported on Cantor sets

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