  We construct a version of Fourier transform for a class of non-commutative
algebras over abelian varieties which include algebras of twisted differential
operators generalizing the previous construction of Laumon (alg-geom/9603004)
and of the second author (alg-geom/9602023). We also construct the microlocal
version of this transform and its etale localization in the framework of
Kapranov's theory of NC-schemes (see math.AG/9802041).
