A Multiplier Version of the Bernstein Inequality on the Complex Sphere
Classical Analysis and ODEs
2012-04-30 v1
Abstract
We prove a multiplier version of the Bernstein inequality on the complex sphere. Included in this is a new result relating a bivariate sum involving Jacobi polynomials and Gegenbauer polynomials, which relates the sum of reproducing kernels on spaces of polynomials irreducibly invariant under the unitary group, with the reproducing kernel of the sum of these spaces, which is irreducibly invariant under the action of the orthogonal group.
Keywords
Cite
@article{arxiv.1204.6147,
title = {A Multiplier Version of the Bernstein Inequality on the Complex Sphere},
author = {Alexander Kushpel and Jeremy Levesley},
journal= {arXiv preprint arXiv:1204.6147},
year = {2012}
}