Orthogonal structure and orthogonal series in and on a double cone or a hyperboloid

DOI10.1090/tran/8312zbMath1464.42017arXiv1912.07533OpenAlexW3103592722MaRDI QIDQ5857752

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Publication date: 7 April 2021

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.07533

zbMATH Keywords

PDEconeorthogonal polynomialshyperboloidaddition formula

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (9)

Maximal functions and multiplier theorem for Fourier orthogonal series ⋮ Orthogonal polynomials on a class of planar algebraic curves ⋮ Orthogonal polynomials on a planar quartic curve ⋮ Orthogonal polynomials on planar cubic curves ⋮ Fourier orthogonal series on a paraboloid ⋮ Bernstein inequality on conic domains and triangles ⋮ Approximation and localized polynomial frame on double hyperbolic and conic domains ⋮ Approximation and localized polynomial frame on conic domains ⋮ Laguerre expansions on conic domains

Cites Work

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• The Poisson operator for orthogonal polynomials in the multidimensional ball
• Spherical functions of mathematical geosciences. A scalar, vectorial, and tensorial setup
• Moduli of smoothness and approximation on the unit sphere and the unit ball
• Best approximation of functions on the ball on the weighted Sobolev space equipped with a Gaussian measure
• Probabilistic and average linear widths of weighted Sobolev spaces on the ball equipped with a Gaussian measure
• Localized polynomial frames on the ball
• 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
• Differential-Difference Operators Associated to Reflection Groups
• Positive Sums of the Classical Orthogonal Polynomials
• Summability of Fourier orthogonal series for Jacobi weight on a ball in ℝ^{𝕕}
• Orthogonal Polynomials for a Family of Product Weight Functions on the Spheres
• The Addition Formula for Jacobi Polynomials and Spherical Harmonics
• 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

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