A note on the construction of nonseparable wavelet bases and multiwavelet matrix filters of $L^2(\mathbb R^n)$, where $n\geq 2$

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