Generalized Fourier transform on an arbitrary triangular domain

DOI10.1007/s10444-003-7667-8zbMath1061.42021OpenAlexW2039047418MaRDI QIDQ1767055

Jiachang Sun, Hui-yuan Li

Publication date: 4 March 2005

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-003-7667-8

zbMATH Keywords

triangleconvergenceerror estimatesSobolev normeigenfunction expansiongeneralized Fourier seriesgeneralized Fourier transformgeneralized Fourier expansion

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30)

Related Items (5)

Approximation on the Voronoi cells of the \(A_d\) lattice ⋮ TheL^pconvergence of Fourier series on triangular domains ⋮ Fourier series and approximation on hexagonal and triangular domains ⋮ Parallel preconditioners for large scale partial difference equation systems ⋮ Fast Fourier transforms of piecewise polynomials

Cites Work

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• Spectral methods on triangles and other domains
• Orthogonal polynomials and cubature formulae on spheres and on simplices
• Using the matrix refinement equation for the construction of wavelets on invariant sets
• Approximation on simplices with respect to weighted Sobolev norms
• Eigenvalues and eigenfunctions of the Laplace operator on an equilateral triangle
• Orthogonal polynomials in two variables
• Über die Konstruktion von Systemen orthogonaler Polynome in ein- und zweidimensionalen Bereichen
• Eigenvalues of the Laplacian in Two Dimensions
• Completeness of the Eigenfunctions of the Equilateral Triangle
• On the Eigenvalues of Vibrating Membranes^†
• The Eigenvalues of an Equilateral Triangle
• Summability of Fourier orthogonal series for Jacobi weight functions on the simplex in ℝ^{𝕕}
• Multiwavelets for Second-Kind Integral Equations
• Orthogonal Polynomials with Symmetry of Order Three
• Orthogonal polynomials on the ball and the simplex for weight functions with reflection symmetries

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