Modelling the stellar intensity and radial velocity fields in triaxial galaxies by sums of Gaussian functions.

In this paper, we show that if the spatial light intensity and angular velocity of a cylindrically-rotating elliptical galaxy are both represented by sums of centered Gaussians functions, constant on homothetic triaxial ellipsoids, then the observed isophotes and iso- radial velocities, for an arbitrary line of sight and with a point-spread function also represented by a sum of Gaussians, can be derived from their spatial counterparts by simple analytical formulae. The inverse problem of deriving the spatial parameters from the observed ones is studied, and three-dimensional deconvolution of the surface brightness and the radial velocity field are obtained, when the point-spread function is a single Gaussian.