A note on the construction of nonseparable wavelet bases and multiwavelet matrix filters of 𝐿²(ℝⁿ), where 𝕟≥2

In this note, we announce a general method for the construction of nonseparable orthogonal wavelet bases of L 2 ( R n ) , L^2(\mathbb {R}^n), where n ≥ 2. n\geq 2. Hence, we prove the existence of such type of wavelet bases for any integer n ≥ 2. n\geq 2. Moreover, we show that this construction method can be extended to the construction of n n -D multiwavelet matrix filters.