2012/04/27 by Alexander Kushpel, Kushpel, Alexander, Jeremy Levesley +1
Engineering · Mathematics · #Advanced Harmonic Analysis Research #Advanced Numerical Analysis Techniques #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Analysis and Transform Methods
paper · pdf · doi:10.48550/arxiv.1204.6147
openalex publication_date 2012/04/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.