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.

中文翻译：

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海森堡群框架的构造

摘要 在本文中，我们提出了一种不使用傅立叶变换的海森堡群框架的构造。我们的方法基于 Calderón-Zygmund 算子理论和 Coifman 对 Heisenberg 群恒等算子的分解。这些方法有望用于对几个复杂变量的进一步研究。