Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4639300 | Journal of Computational and Applied Mathematics | 2013 | 8 Pages |
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 unitary group.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jeremy Levesley, Alexander Kushpel,