THE THEORY OF MATRIX-VALUED MULTIRESOLUTION ANALYSIS FRAMES

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ZHAO PING; CHUN ZHAO

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Journal Paper

Paper Information

Journal: Bulletin of the Iranian Mathematical Society Year:2016 | Volume:42 | Issue:3 Page(s): 507-519

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Title

THE THEORY OF MATRIX-VALUED MULTIRESOLUTION ANALYSIS FRAMES

Author(s)

ZHAO PING | CHUN ZHAO | Issue Writer Certificate

Keywords

MATRIX-VALUED WAVELET

FRAME

WAVELETS

MATRIX-VALUED DUAL RIESZ BASIS

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.

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APA: Copy

ZHAO, PING, & CHUN, ZHAO. (2016). THE THEORY OF MATRIX-VALUED MULTIRESOLUTION ANALYSIS FRAMES. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 42(3), 507-519. SID. https://sid.ir/paper/700158/en

Vancouver: Copy

ZHAO PING, CHUN ZHAO. THE THEORY OF MATRIX-VALUED MULTIRESOLUTION ANALYSIS FRAMES. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2016;42(3):507-519. Available from: https://sid.ir/paper/700158/en

IEEE: Copy

PING ZHAO, and ZHAO CHUN, “THE THEORY OF MATRIX-VALUED MULTIRESOLUTION ANALYSIS FRAMES,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 42, no. 3, pp. 507–519, 2016, [Online]. Available: https://sid.ir/paper/700158/en

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