Orthonormality of wavelet system on the Heisenberg group and twisted wavelet system on $\mathbb{C}$
S.Arati, R.Radha
TL;DR
This paper establishes necessary and sufficient conditions for the orthonormality of wavelet systems on the Heisenberg group and twisted wavelet systems on the complex plane, advancing understanding of wavelet structures in non-commutative and complex settings.
Contribution
It provides a comprehensive characterization of orthonormal wavelet systems on the Heisenberg group and twisted wavelet systems on the complex plane, linking group actions to wavelet orthonormality.
Findings
Derived conditions for wavelet orthonormality on the Heisenberg group
Established criteria for twisted wavelet systems on
Extended wavelet theory to non-commutative and complex contexts
Abstract
The aim of this paper is to obtain necessary and sufficient conditions for the orthonormality of wavelet system arising out of left translations and nonisotropic dilations on the Heisenberg group . A similar problem is also discussed for the twisted wavelet system on .
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMathematical Analysis and Transform Methods · Image and Signal Denoising Methods · Seismic Imaging and Inversion Techniques