关于从 $\mathbb R^D$ 到 $\mathbb R^D$ 的 $\epsilon$ 扭曲微分同胚的 BMO 定理及其在语音与声音流形中的应用
经典分析与常微分方程
2024-02-27 v7 偏微分方程分析
摘要
本文处理关于从 到 的 扭曲微分同胚的 BMO 定理，及其在语音与声音流形中的应用。本文的材料出现在研究纪要 [2] 中。
引用
@article{arxiv.1610.08138,
title = {A BMO theorem for $\epsilon$ distorted diffeomorphisms from $\mathbb R^D$ to $\mathbb R^D$ with applications to manifolds of speech and sound},
author = {C. Fefferman and S. B. Damelin and W. Glover},
journal= {arXiv preprint arXiv:1610.08138},
year = {2024}
}
备注
The material for this paper appears in the research memoir: S. B. Damelin, Near extensions and Alignment of data in $\mathbb R^n$: Whitney extensions of smooth near isometries, shortest paths, equidistribution, clustering and non-rigid alignment of data in Euclidean space, John Wiley & Sons, November 2023