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BibTex format

@article{Olver:2021:imanum/draa001,
author = {Olver, S and Xu, Y},
doi = {imanum/draa001},
journal = {IMA Journal of Numerical Analysis},
pages = {206--246},
title = {Orthogonal structure on a quadratic curve},
url = {http://dx.doi.org/10.1093/imanum/draa001},
volume = {41},
year = {2021}
}

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TY  - JOUR
AB  - Orthogonal polynomials on quadratic curves in the plane are studied.These include orthogonal polynomials on ellipses, parabolas, hyperbolas, and twolines.  For an integral with respect to an appropriate weight function defined onany  quadratic  curve,  an  explicit  basis  of  orthogonal  polynomials  is  constructedin terms of two families of orthogonal polynomials in one variable.  Convergenceof  the  Fourier  orthogonal  expansions  is  also  studied  in  each  case.   We  discussapplications to the Fourier extension problem, interpolation of functions with sin-gularities  or  near  singularities,  and  the  solution  of  Schr odinger’s  equation  withnon-differentiable or nearly-non-differentiable potentials.
AU  - Olver,S
AU  - Xu,Y
DO  - imanum/draa001
EP  - 246
PY  - 2021///
SN  - 0272-4979
SP  - 206
TI  - Orthogonal structure on a quadratic curve
T2  - IMA Journal of Numerical Analysis
UR  - http://dx.doi.org/10.1093/imanum/draa001
UR  - https://academic.oup.com/imajna/article/41/1/206/5821508?login=true
UR  - http://hdl.handle.net/10044/1/76803
VL  - 41
ER  -

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