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

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

References in corpus (1)

• Shift-invariant Spaces with Countably Many Mutually Orthogonal Generators on the Heisenberg group