  We study the Fourier orthogonal expansions with respect to the Laguerre type
weigh functions on the conic surface of revolution and the domain bounded by
such a surface. The main results include a closed form formula for the
reproducing kernels, which is the kernel of the orthogonal projection operator
and a pseudo convolution structure on the conic domain; the latter is shown to
be bounded in an appropriate $L^p$ space and used to study mean convergence of
the Ces\`aro means of the Laguerre expansions on conic domains.
