Bulletin of the
Korean Mathematical Society BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016
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Bull. Korean Math. Soc. 2001; 38(3): 517-526

Printed September 1, 2001

Copyright © The Korean Mathematical Society.

Continuous multiscale analysis on the Heisenberg group

Jianxun He

Nanjing Normal University

Abstract

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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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