A characteristic description of orthonormal wavelet on subspace L2E ðRÞ of L2ðRÞ

The exceptional Lie groups are applicable to nature because nature is essentially a Cantorian and hierarchal fractal with an octionic connection. In this paper, inspired by these theory, a characterization of orthonormal wavelet on subspace L2E ðRÞ of L2ðRÞ is given. The result covers known conclusion on Hardy space H2ðRÞ.