Orthogonal polynomials and Fourier orthogonal series on a cone

DOI10.1007/s00041-020-09741-xOpenAlexW3016266611MaRDI QIDQ2688108

Yanyan Li

Publication date: 9 March 2023

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.07587

zbMATH Keywords

PDEsurfaceconeorthogonal polynomialsFourier orthogonal series

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) Multidimensional problems (41A63) Approximation by polynomials (41A10) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (14)

Maximal functions and multiplier theorem for Fourier orthogonal series ⋮ Orthogonal polynomials on a class of planar algebraic curves ⋮ Sharp estimates for Jacobi heat kernels in conic domains ⋮ Orthogonal polynomials on a planar quartic curve ⋮ Orthogonal polynomials on planar cubic curves ⋮ Fourier orthogonal series on a paraboloid ⋮ Monomial and Rodrigues orthogonal polynomials on the cone ⋮ Orthogonal polynomials in and on a quadratic surface of revolution ⋮ 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 ⋮ Non-homogeneous wave equation on a cone ⋮ Laguerre expansions on conic domains ⋮ Orthogonal structure and orthogonal series in and on a double cone or a hyperboloid

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