Localized polynomial frames on the interval with Jacobi weights

Pencho Petrushev, Yuan Xu

As is well known the kernel of the orthogonal projector onto the polynomials of degree $n$ in $L^2(w_{\a,\b}, [-1, 1])$ with $w_{\a,\b}(t) = (1-t)^\a(1+t)^\b$ can be written in ter…