Construction of Frames on the Heisenberg Groups
- Resource Type
- article
- Authors
- Chang Der-Chen; Han Yongsheng; Wu Xinfeng
- Source
- Analysis and Geometry in Metric Spaces, Vol 8, Iss 1, Pp 382-395 (2020)
- Subject
- heisenberg group
frame
calderón-zygmund singular integral operator
coifman’s decomposition of the identity operator
42b20
42b30
Analysis
QA299.6-433
- Language
- English
- ISSN
- 2299-3274
74974548
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.