共轨理论入门--从基础到最新发展
A Primer on Coorbit Theory -- From Basics to Recent Developments
摘要：
余轨理论是一种强大的机器，它从局部紧群的良好酉表示中构造出一类巴拿赫空间，即所谓的余轨空间。共轨空间的一个核心特征是它们可以以反映底层局部紧群几何的方式离散化。许多已建立的函数空间如调制空间、Besov空间、Sobolev-Shubin空间和shearlet空间都是共轨空间的例子。本调查的目的是给一个概述的coorbit理论的目的是提出的主要思想在一个访问的方式。协同理论通常被认为是一个复杂的理论，充满了技术和概念上的困难。面对这一障碍，我们觉得有义务让读者相信这个理论的优雅。因此，本调查是一个展示coorbit理论，应视为一个垫脚石，以更完整的来源。
英文摘要：
Coorbit theory is a powerful machinery that constructs a family of Banach spaces, the so-called coorbit spaces, from well-behaved unitary representations of locally compact groups. A core feature of coorbit spaces is that they can be discretized in a way that reflects the geometry of the underlying locally compact group. Many established function spaces such as modulation spaces, Besov spaces, Sobolev-Shubin spaces, and shearlet spaces are examples of coorbit spaces. The goal of this survey is to give an overview of coorbit theory with the aim of presenting the main ideas in an accessible manner. Coorbit theory is generally seen as a complicated theory, filled with both technicalities and conceptual difficulties. Faced with this obstacle, we feel obliged to convince the reader of the theory's elegance. As such, this survey is a showcase of coorbit theory and should be treated as a stepping stone to more complete sources.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
