Asymptotics of multivariate orthogonal polynomials with hyperoctahedral symmetry
J. F. van Diejen
Abstract
We present a formula describing the asymptotics of a class of multivariate orthogonal polynomials with hyperoctahedral symmetry as the degree tends to infinity. The polynomials under consideration are characterized by a factorized weight function satisfying certain analyticity assumptions. As an application, the large-degree asymptotics of the Koornwinder-Macdonald BCN-type multivariate Askey-Wilson polynomials is determined.
Create a lesson
Related papers
Sharp mixed Ap-A∞ estimates for sparse operators on filtered and nonhomogeneous measure spaces
Francisco Gonçalves, Emiel Lorist
Lp Decay Estimates for Circular Means of Fractal Measures in R2
Zhenbin Cao, Feilong Guo, Junfeng Li
The divergence set for the wave equation in higher dimensions
Xiumin Du, Terence L. J. Harris, Jianhui Li
Product-profile anti-concentration for block-structured multi-affine polynomials
Evgeny Abakumov, Omer Friedland, Yosef Yomdin
Rigorous analysis of giant magnetic vortex strings
Ovidiu Avadanei, Wilhelm Schlag
Multilinear Mikhlin Multipliers with Degenerate Singularities
Hanaë Vandanjon