  I derive a nonlinear local relation between the redshift-space density field
and the real-space velocity field. The relation accounts for radial character
of redshift distortions, and it is not restricted to the limit of the distant
observer. Direct comparisons between the observed redshift-space density fields
and the real-space velocity fields possess all of the advantages of the
conventional redshift-space analyses, while at the same time they are free of
their disadvantages. In particular, neither the model-dependent reconstruction
of the density field in real space is necessary, nor is the reconstruction of
the nonlinear velocity field in redshift space, questionable because of its
vorticity at second order. The nonlinear redshift-space velocity field is
irrotational only in the distant observer limit, and that limit is not a good
approximation for shallow catalogs of peculiar velocities currently available.
Unlike the conventional redshift-space comparisons, the comparison proposed
here does not have to be restricted to the linear regime. Accounting for
nonlinear effects removes one of the sources of bias in the estimate of beta.
Moreover, the nonlinear effects break the Omega-bias degeneracy plaguing all
analyses based on linear theory.
