  We describe an analytic continuation of the Euclidean Grosse-Wulkenhaar and
LSZ models which defines a one-parameter family of duality covariant
noncommutative field theories interpolating between Euclidean and Minkowski
space versions of these models, and provides an alternative regularization to
the usual Feynman prescription. This regularization allows for a matrix model
representation of the field theories in terms of a complex generalization of
the usual basis of Landau wavefunctions. The corresponding propagators are
calculated and identified with the Feynman propagators of the field theories.
The regulated quantum field theories are shown to be UV/IR-duality covariant.
We study the asymptotics of the regularized propagators in position and matrix
space representations, and confirm that they generically possess a comparably
good decay behaviour as in the Euclidean case.
