"Finite rank Toeplitz operators on the Bergman space"
                    D. Luecking
        

ABSTRACT: I will present a characterization of these operators. The
proof is almost entirely algebraic, deriving consequences
from the fact that certain determinants must vanish.
Ultimately, a little analysis is required to deduce that a
certain complex Borel measure on $C^n$ must be zero. The
proof is general enough to apply in some form to most Hilbert
spaces of analytic functions on domains in the plane.