Fourier orthogonal series on a paraboloid

DOI10.1007/s11854-022-0251-2zbMath1522.42059arXiv2108.00247OpenAlexW3191049080MaRDI QIDQ6161892

Yuan Xu

Publication date: 28 June 2023

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.00247

zbMATH Keywords

Cesàro meansFourier seriesreproducing kernelJacobi polynomialparaboloid

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Approximation by other special function classes (41A30)

Cites Work

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• The Poisson operator for orthogonal polynomials in the multidimensional ball
• Best approximation of functions on the ball on the weighted Sobolev space equipped with a Gaussian measure
• Cesàro means of Jacobi expansions on the parabolic biangle
• Product formulas and associated hypergroups for orthogonal polynomials on the simplex and on a parabolic biangle
• Probabilistic and average linear widths of weighted Sobolev spaces on the ball equipped with a Gaussian measure
• Cesàro summability of Fourier orthogonal expansions on the cylinder
• Orthogonal polynomials and Fourier orthogonal series on a cone
• ANALYSIS IN THE MULTI‐DIMENSIONAL BALL
• An integral identity with applications in orthogonal polynomials
• Decomposition of weighted Triebel-Lizorkin and Besov spaces on the ball
• Summability of Fourier orthogonal series for Jacobi weight on a ball in ℝ^{𝕕}
• Approximation Theory and Harmonic Analysis on Spheres and Balls
• Christoffel Functions and Universality in the Bulk for Multivariate Orthogonal Polynomials
• Orthogonal polynomials in and on a quadratic surface of revolution
• Gaussian bounds for the heat kernels on the ball and the simplex: classical approach
• Mixed norm estimates for the Cesàro means associated with Dunkl–Hermite expansions
• Orthogonal Polynomials of Several Variables
• Orthogonal structure and orthogonal series in and on a double cone or a hyperboloid

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