Orthogonal structure on a wedge and on the boundary of a square

DOI10.1007/s10208-018-9393-0zbMath1428.42049arXiv1710.08654OpenAlexW2964069030WikidataQ129584306 ScholiaQ129584306MaRDI QIDQ2420633

Yanyan Li

Publication date: 6 June 2019

Published in: Foundations of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.08654

zbMATH Keywords

orthogonal polynomialswedgeboundary of squareFourier orthogonal expansions

Mathematics Subject Classification ID

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)

Fast algorithms using orthogonal polynomials ⋮ A gyroscopic polynomial basis in the sphere ⋮ Transformations for Piola-mapped elements ⋮ A static memory sparse spectral method for time-fractional PDEs ⋮ Orthogonal polynomials on a class of planar algebraic curves ⋮ Computation of power law equilibrium measures on balls of arbitrary dimension ⋮ Orthogonal polynomials on a planar quartic curve ⋮ Orthogonal polynomials on planar cubic curves ⋮ Orthogonal polynomials in and on a quadratic surface of revolution

Uses Software

• DLMF
• OPQ
• SingularIntegralEquations

Cites Work

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• A fast and well-conditioned spectral method for singular integral equations
• On the structure of correlation functions in the normal matrix model
• Christoffel functions and universality on the boundary of the ball
• Christoffel Functions and Universality in the Bulk for Multivariate Orthogonal Polynomials
• Sampling unitary ensembles

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