Construction of Frames on the Heisenberg Groups

Analysis and Geometry in Metric Spaces

Han Yongsheng¹  Wu Xinfeng²  Chang Der-Chen³ 

[1] and Graduate Institute of Business Administration, Fu Jen Catholic University, New Taipei City, Taiwan;Department of Mathematics and Statistics, Auburn University, Auburn, USA;Department of Mathematics and Statistics, Georgetown University, Washington DC, USA;

关键词: heisenberg group;    frame;    calderón-zygmund singular integral operator;    coifman’s decomposition of the identity operator;    42b20;    42b30;   

DOI  :  10.1515/agms-2020-0118

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown