English

Orthonormality of wavelet system on the Heisenberg group and twisted wavelet system on $\mathbb{C}$

Functional Analysis 2017-12-05 v1 Representation Theory

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 H\mathbb{H}. A similar problem is also discussed for the twisted wavelet system on C\mathbb{C}.

Keywords

Cite

@article{arxiv.1712.00718,
  title  = {Orthonormality of wavelet system on the Heisenberg group and twisted wavelet system on $\mathbb{C}$},
  author = {S. Arati and R. Radha},
  journal= {arXiv preprint arXiv:1712.00718},
  year   = {2017}
}