Disk polynomials and the one-dimensional wave equation

DOI10.1016/j.jat.2019.03.009zbMath1418.35254OpenAlexW2927371799MaRDI QIDQ2418018

Peter C. Gibson

Publication date: 31 May 2019

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2019.03.009

zbMATH Keywords

orthogonal polynomialsGreen's functionZernike polynomialsscattering polynomials

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Wave equation (35L05) PDEs with low regular coefficients and/or low regular data (35R05) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (2)

Theorems of Szegö-Verblunsky type in the multivariate and almost periodic settings ⋮ A Path-Integral Method for Solution of the Wave Equation with Continuously Varying Coefficients

Cites Work

• Fourier expansion of disk automorphisms via scattering in layered media
• Generalized Zernike or disc polynomials
• Five-diagonal matrices and zeros of orthogonal polynomials on the unit circle
• Acoustic imaging of layered media
• Explicit matrix inverses for lower triangular matrices with entries involving Jacobi polynomials
• CMV matrices: Five years after
• Wave propagation and time reversal in randomly layered media.
• Direct and inverse problems in elastic multilayers with reflection data
• A geometry where everything is better than nice
• The Combinatorics of Scattering in Layered Media
• Spectral Approximation on the Unit Ball
• On some 2𝐷 orthogonal 𝑞-polynomials
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