  In this work we solve a degenerate parabolic equation for the half line with
Dirichlet boundary data, and use some results from the theory of Reproducing
Kernel Hilbert Spaces to show that the null reachable space of this degenerate
parabolic equation is a RKHS of analytic functions on a sector, whose
reproducing kernel can be written in terms of the weighted Bergman kernel on
the half plane C+.
