Orthogonal polynomials of discrete variable and boundedness of Dirichlet kernel
Functional Analysis
2007-05-23 v2
Abstract
For orthogonal polynomials defined by compact Jacobi matrix with exponential decay of the coefficients, precise properties of orthogonality measure is determined. This allows showing uniform boundedness of partial sums of orthogonal expansions with respect to norm, which generalize analogous results obtained for little -Legendre, little -Jacobi and little -Laguerre polynomials, by the authors.
Cite
@article{arxiv.math/0509241,
title = {Orthogonal polynomials of discrete variable and boundedness of Dirichlet kernel},
author = {Josef Obermaier and Ryszard Szwarc},
journal= {arXiv preprint arXiv:math/0509241},
year = {2007}
}