A BMO theorem for $ϵ$ distorted diffeomorphisms from ${\mathbb{R}}^D$ to ${\mathbb{R}}^D$ with applications to manifolds of speech and sound

This paper deals with a BMO Theorem for $ϵ$ distorted diffeomorphisms from ${\mathbb{R}}^D$ to ${\mathbb{R}}^D$ with applications to manifolds of speech and sound. The material for this paper appears in the research memoir [2].