Orthogonal structure on a wedge and on the boundary of a square
File(s)Olver-Xu2019_Article_OrthogonalStructureOnAWedgeAnd.pdf (884.66 KB)
Published version
Author(s)
Olver, SS
Xu, Yuan
Type
Journal Article
Abstract
Orthogonal polynomials with respect to a weight function defined on a wedge in the plane are studied. A basis of orthogonal polynomials is explicitly constructed for two large class of weight functions and the convergence of Fourier orthogonal expansions is studied. These are used to establish analogous results for orthogonal polynomials on the boundary of the square. As an application, we study the statistics of the associated determinantal point process and use the basis to calculate Stieltjes transforms.
Date Issued
2019-06
Date Acceptance
2018-06-07
Citation
Foundations of Computational Mathematics, 2019, 19 (3), pp.561-589
ISSN
1615-3375
Publisher
Springer Verlag
Start Page
561
End Page
589
Journal / Book Title
Foundations of Computational Mathematics
Volume
19
Issue
3
Copyright Statement
© The Author(s) 2018. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Identifier
https://link.springer.com/article/10.1007%2Fs10208-018-9393-0
Subjects
Science & Technology
Technology
Physical Sciences
Computer Science, Theory & Methods
Mathematics, Applied
Mathematics
Computer Science
Orthogonal polynomials
Wedge
Boundary of square
Fourier orthogonal expansions
01 Mathematical Sciences
08 Information and Computing Sciences
Numerical & Computational Mathematics
Publication Status
Published
Date Publish Online
2018-07-06