Generalising the inverse redshift-space operator: Vorticity in redshift-space

We discuss the effects of vorticity in redshift-space and the general Inverse Redskift-Space Operator. With this operator we can reconstruct real-space density and velocity fields without resorting to iterative or numerically intensive inversion methods in the Linear regime. We consider the presence of vorticity in the projected redshift-space velocity field. As a corollary to the inversion of the density field in the Local Group rest frame we present an expression for estimating the velocity dipole from redshift-space, allowing one to derive the Local Group dipole without full reconstruction of the redshift survey. We apply these methods to simulations and present our results.