  Given a projection $f$ of a product of real analytic manifolds onto one
factor, let us say, $S$, and a subanalytic sheaf $\mathcal{F}$ on the
associated subanalytic site, we give a natural construction of the
(subanalytic) relative sheaf $\mathcal{F}^S$. Applying our construction to the
subanalytic sheaves of tempered distributions, holomorphic functions and
Whitney $\mathcal{C}^{\infty}$-functions we obtain their relative versions and
study their properties.
