Construction of Frames on the Heisenberg Groups

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.

Keywords

• heisenberg group
• frame
• calderón-zygmund singular integral operator
• coifman’s decomposition of the identity operator
• 42b20
• 42b30