A Study of Matrix-Valued Trivariate Wavelet Packets Associated with an Orthogonal Matrix-Valued Trivariate Scaling Function
2010 ◽
Vol 439-440
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pp. 1165-1170
Keyword(s):
Wavelet analysis has become a developing branch of mathematics for over twenty years. In this paper, the notion of matrix-valued multiresolution analysis of space is introduced. A method for constructing biorthogonal matrix–valued trivariate wavelet packets is developed and their properties are discussed by means of time-frequency analysis method, matrix theory and functional analysis method. Three biorthogonality formulas concerning these wavelet packets are provided. Finally, new Riesz bases of space is obtained by constructing a series of subspaces of biorthogonal matrix-valued wavelet packets.
2011 ◽
Vol 204-210
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pp. 2225-2228
2010 ◽
Vol 439-440
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pp. 1147-1152
2013 ◽
Vol 712-715
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pp. 2487-2492
2010 ◽
Vol 439-440
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pp. 1093-1098
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2013 ◽
Vol 321-324
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pp. 1317-1320
2010 ◽
Vol 439-440
◽
pp. 902-907
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2011 ◽
Vol 460-461
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pp. 317-322
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2010 ◽
Vol 20-23
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pp. 1053-1059
Keyword(s):
Keyword(s):
2010 ◽
Vol 439-440
◽
pp. 1141-1146
Keyword(s):