仿射量子调和分析
Affine Quantum Harmonic Analysis
摘要：
我们发展了一个仿射群的量子调和分析框架。这封装了文献中的几个例子，如仿射局部化算子，协变积分量化，仿射二次时频表示。在这个过程中，我们开发了一个概念的容许运营商和扩展众所周知的结果，运营商设置。本文的一个主要主题是算子卷积，仿射外尔量子化和容许性之间的相互作用。
英文摘要：
We develop a quantum harmonic analysis framework for the affine group. This encapsulates several examples in the literature such as affine localization operators, covariant integral quantizations, and affine quadratic time-frequency representations. In the process, we develop a notion of admissibility for operators and extend well known results to the operator setting. A major theme of the paper is the interaction between operator convolutions, affine Weyl quantization, and admissibility.
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。
