  In this paper, local monomialization theorems are proven for analytic
morphisms of complex and real analytic spaces. This gives the generalization of
the local monomialization theorem for morphisms of algebraic varieties over a
field of characteristic zero proven in the author's earlier papers "Local
monomialization of morphisms", Asterisque 260 (1999) and "Local monomialization
of transcendental extensions", Annales de l'institut Fourier, 1517 - 1586.
