Cui, Lihong; Chen, Xiaodong; Du, Junfeng; Wang, Longyu; Guo, Xingbao; Cui, Yue’e The density of the space of matrix-valued scaling functions. (Chinese. English summary) Zbl 1274.42088 Pure Appl. Math. 28, No. 2, 143-148 (2012). Summary: Multiresolution analysis is very important for constructions of the wavelet basis. From the classic multiresolution analysis to the multiwavelets multiresolution analysis and the matrix-valued multiresolution analysis, the content of the MRA has been greatly development. In this paper, we discuss the density of the space of matrix-valued scaling functions based on the space of matrix-valued functions. Finally, we give two necessary and sufficient conditions and two sufficient conditions of the density. MSC: 42C40 Nontrigonometric harmonic analysis involving wavelets and other special systems 65T60 Numerical methods for wavelets Keywords:matrix-valued multiresolution analysis; space of matrix-valued function; space of matrix-valued scaling function; density PDFBibTeX XMLCite \textit{L. Cui} et al., Pure Appl. Math. 28, No. 2, 143--148 (2012; Zbl 1274.42088)