  Given a compact quantizable pseudo-K\"ahler manifold $(M,\omega)$ of constant
signature, there exists a Hermitian line bundle $(L,h)$ over $M$ with curvature
$-2\pi i\,\omega$. We shall show that the asymptotic expansion of the Bergman
kernels for $L^{\otimes k}$-valued $(0,q)$-forms implies more or less
immediately a number of analogues of well-known results, such as Kodaira
embedding theorem and Tian's almost-isometry theorem.
