@article {
author = {Zhao, P. and Zhao, C.},
title = {The theory of matrix-valued multiresolution analysis frames},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {42},
number = {3},
pages = {507-519},
year = {2016},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {A generalization of matrix-valued multiresolution analysis (MMRA) to matrix-valued frames, and the constructions of matrix-valued frames are considered and characterized. A matrix-valued frame multiresolution analysis is defined in this paper. We provide necessary and sufficient conditions for constructing matrix-valued frames and Riesz bases of translates, and give the calculation method of matrix-valued dual Riesz basis. These conclusions are useful in providing theoretical basis for constructing matrix-valued frames and Riesz basis.},
keywords = {Matrix-valued wavelet,frame,wavelets,matrix-valued dual Riesz basis},
url = {http://bims.iranjournals.ir/article_779.html},
eprint = {http://bims.iranjournals.ir/article_779_bb10aaa73cdd7d1d0904b351010f3dbf.pdf}
}