  In several variables, we prove the pointwise convergence of multiresolution
expansions to the distributional point values of tempered distributions and
distributions of superexponential growth. The article extends and improves
earlier results by G. G. Walter and B. K. Sohn and D. H. Pahk that were shown
in one variable. We also provide characterizations of the quasiasymptotic
behavior of distributions at finite points and discuss connections with
$\alpha$-density points of measures.
