Continuous multiscale analysis on the Heisenberg group
Bull. Korean Math. Soc. 2001 Vol. 38, No. 3, 517-526
Jianxun He
Nanjing Normal University
Abstract : In this paper, we study the continuous wavelet transform on the Heisenberg group ${\bold H}^n$, and describe the related continuous multiscale analysis. By using the wavelet packet transform we obtain a reconstruction formula on $L^2({\bold H}^n)$.
Keywords : Heisenberg group, wavelet transform, continuous multiscale analysis
MSC numbers : Primary 43A85; Secondary 44A15
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