从协变变换视角看调和分析中的实技术与复技术
泛函分析
2014-07-02 v4 复变函数
表示论
摘要
本文综述了调和分析中的复技术与实技术。我们描述了这两种方法的共同来源,即由仿射群生成的协变变换。
引用
@article{arxiv.1209.5072,
title = {The Real and Complex Techniques in Harmonic Analysis from the Point of View of Covariant Transform},
author = {Vladimir V. Kisil},
journal= {arXiv preprint arXiv:1209.5072},
year = {2014}
}
备注
31 pages, AMS-LaTeX, no figures; v2: a major revision, sections on representations of the ax+b group and transported norms are added; v3: major revision: an outline section on complex and real variables techniques are added, numerous smaller improvements; v4: minor corrections