Inequalities for Jacobi polynomials

DOI10.1007/s11139-013-9472-4zbMath1306.33018arXiv1201.0495OpenAlexW1973652129MaRDI QIDQ744827

Henrik Schlichtkrull, Uffe Haagerup

Publication date: 26 September 2014

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.0495

zbMATH Keywords

Bernstein inequalitymatrix coefficientJacobi polynomial

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Semisimple Lie groups and their representations (22E46)

Related Items

Dispersion estimates for the discrete Laguerre operator, A Comparative Study of Polynomial-Type Chaos Expansions for Indicator Functions, Strong property (T) for higher-rank simple Lie groups: Figure 1., On tempered representations, Jacobi polynomials, Bernstein-type inequalities and dispersion estimates for the discrete Laguerre operator, Spectral convergence for orthogonal polynomials on triangles, \(L^p\) joint eigenfunction bounds on quaternionic spheres, Estimates for matrix coefficients of representations, Optimal decay rates on the asymptotics of orthogonal polynomial expansions for functions of limited regularities, From refined estimates for spherical harmonics to a sharp multiplier theorem on the Grushin sphere, Analysis on simple Lie groups and lattices, Groups, Jacobi functions, and rigged Hilbert spaces, Strictly positive definite non-isotropic kernels on two-point homogeneous manifolds: the asymptotic approach, Schoenberg's theorem for real and complex Hilbert spheres revisited, Unitarily invariant strictly positive definite kernels on spheres, Jacquet-Langlands-Shimizu correspondence for theta lifts to \(\mathrm{GSp}(2)\) and its inner forms II: an explicit formula for Bessel periods and the non-vanishing of theta lifts, Simple Lie groups without the Approximation Property II, Uniform pointwise estimates for ultraspherical polynomials, Almost everywhere convergence of Bochner–Riesz means on Heisenberg‐type groups, Evaluating the Mahler measure of linear forms via the Kronecker limit formula on complex projective space

Uses Software

• BIJ

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Noncommutative \(L^{p}\)-spaces without the completely bounded approximation property
• How sharp is Bernstein's inequality for Jacobi polynomials?
• On the Erdélyi-Magnus-Nevai conjecture for Jacobi polynomials
• Simple Lie groups without the approximation property
• An upper bound on Jacobi polynomials
• On Asymptotics of Jacobi Polynomials
• Generalized Jacobi Weights, Christoffel Functions, and Jacobi Polynomials
• A Bernstein-Type Inequality for the Jacobi Polynomial
• Approximation Properties for Group C∗-Algebras and Group Von Neumann Algebras
• Alternative Proof of a Sharpened Form of Bernstein's Inequality for Legendre Polynomials