Jacobi polynomials, Bernstein-type inequalities and dispersion estimates for the discrete Laguerre operator

DOI10.1016/j.aim.2018.05.038zbMath1405.33012arXiv1602.08626OpenAlexW2289112228WikidataQ62469383 ScholiaQ62469383MaRDI QIDQ1649350

Gerald Teschl, Koornwinder, Tom H., Aleksey S. Kostenko

Publication date: 5 July 2018

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.08626

zbMATH Keywords

Schrödinger equationJacobi polynomialsdispersive estimatesBernstein-type inequalitiesdiscrete Laguerre operator

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Dispersion theory, dispersion relations arising in quantum theory (81U30) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (10)

Heat kernels of the discrete Laguerre operators ⋮ The Krein–von Neumann extension revisited ⋮ Galerkin operational approach for multi-dimensions fractional differential equations ⋮ On approximation of ultraspherical polynomials in the oscillatory region ⋮ Estimates for matrix coefficients of representations ⋮ Regularity, continuity and approximation of isotropic Gaussian random fields on compact two-point homogeneous spaces ⋮ Stability properties of disk polynomials ⋮ On the maximum value of a confluent hypergeometric function ⋮ Uniform pointwise estimates for ultraspherical polynomials ⋮ Almost everywhere convergence of Bochner–Riesz means on Heisenberg‐type groups

Uses Software

• DLMF
• BIJ

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