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

C. Fefferman, S. B. Damelin, W. Glover

Abstract

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].

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

Abstract

This paper deals with a BMO Theorem for distorted diffeomorphisms from to with applications to manifolds of speech and sound. The material for this paper appears in the research memoir [2].

Paper Structure

This paper contains 10 sections, 92 equations.

Table of Contents

  1. Introduction
  2. Music, Speech and Mathematics
  3. Preliminaries
  4. An overdetermined system
  5. A BMO Theorem
  6. A Refined BMO Theorem
  7. A BMO Theorem for Diffeomorphisms of Small Distortion
  8. On the Approximate and Exact Allignment of Data in Euclidean Space, Speech and Music Manifolds
  9. Approximate and Exact Allignment of Data
  10. Speech and Music manifolds