  We present a steady analytical solution of the incompressible Navier-Stokes
equation for arbitrary viscosity in an arbitrary dimension $d$ of space. It
represents a $d-1$ dimensional vortex "sheet" with an asymmetric profile of
vorticity as a function of the normal coordinate $z$. This profile is related
to the Hermite polynomials $H_\mu(z)$ which are analytically continued to the
negative fractional index $\mu = -\frac{d}{d-1}$. In $d=2$ dimensions, the
solution degenerates to a constant vorticity flow. In $ d \ge 3$ dimensions,
the vorticity is confined to the thin layer around the hyperplane with Gaussian
decay on one side of the hyperplane and the power decay on another side. One
can adjust the common scale of velocity so that the dissipation will stay
finite at vanishing viscosity. In this limit, the width $w$ of the viscous
lawyer will shrink to zero as $\nu^{\frac{3}{5}}$ for arbitrary dimension
$d>3$. In $d=3$ dimensions, this power law is also accompanied by powers of the
logarithm.
