Construction of Frames on the Heisenberg Groups
Copyright policy )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.
- Auburn University United States
- Georgetown University United States
- Fu Jen Catholic University Taiwan
- China University of Mining and Technology China (People's Republic of)
- Auburn University System United States
QA299.6-433, Singular and oscillatory integrals (Calderón-Zygmund, etc.), frame, Calderón-Zygmund singular integral operator, heisenberg group, General harmonic expansions, frames, Heisenberg group, \(H^p\)-spaces, coifman’s decomposition of the identity operator, Coifman's decomposition of the identity operator, 42b20, 42b30, calderón-zygmund singular integral operator, Analysis
QA299.6-433, Singular and oscillatory integrals (Calderón-Zygmund, etc.), frame, Calderón-Zygmund singular integral operator, heisenberg group, General harmonic expansions, frames, Heisenberg group, \(H^p\)-spaces, coifman’s decomposition of the identity operator, Coifman's decomposition of the identity operator, 42b20, 42b30, calderón-zygmund singular integral operator, Analysis
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