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Orthonormality of wavelet system on the Heisenberg group
Date Issued
01-11-2019
Author(s)
Arati, S.
Indian Institute of Technology, Madras
Abstract
On the real line, one of the interesting problems in wavelet analysis is to obtain a characterization for the orthonormality of a wavelet system. In this paper, we wish to characterize the orthonormality of the wavelet system on the Heisenberg group. We also attempt to study the completeness of this system. Further, we consider the wavelet system associated with twisted translations and dilations on L2(C) and study its orthonormality.
Volume
131