Construction of Frames on the Heisenberg Groups

Pub Date : 2020-01-01 DOI:10.1515/agms-2020-0118
D. Chang, Yongsheng Han, Xinfeng Wu
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Abstract

Abstract In this paper, we present a construction of frames on the Heisenberg group without using the Fourier transform. Our methods are based on the Calderón-Zygmund operator theory and Coifman’s decomposition of the identity operator on the Heisenberg group. These methods are expected to be used in further studies of several complex variables.
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Heisenberg群框架的构造
摘要本文给出了一种不使用傅里叶变换在Heisenberg群上构造框架的方法。我们的方法是基于Calderón-Zygmund算子理论和Coifman对Heisenberg群的单位算子的分解。这些方法有望在一些复杂变量的进一步研究中得到应用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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