Characters of Orthogonal Nontensor Product Trivariate Wavelet Wraps in Three-Dimensional Besov Space
نویسندگان
چکیده
Compactly supported wavelet bases for Sobolev spaces is investigated. Steming from a pair of compactly supported refinale functions with multiscale dilation factor in space 2 3 ( ) L R meeting a very mild condition, we provide a general approach for constructing wavelet bases, which is the generalization of univariate wavelets in Hilbert space. The notion of orthogonal non-tensor product trivariate wavelet wraps is proposed by virtue of iteration method. Their orthogonality characters are researched by using time-frequency analysis method. Three orthogonality formulas concerning these wavelet wraps are obtained. It is necessary to draw new orthonormal bases of space 2 3 ( ) L R from these wavelet wraps. A procedure for designing a class of orthogonal vector-valued compactly supported wavelet functions.
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