Dual Multiwavelet Frames with Symmetry from Two-direction Refinable Functions
نویسندگان
چکیده
Motivated by [B. Han and Q. Mo, Adv. Comp. Math. 18 (2003) 211-245] and [B. Han and Z. Shen, Constr. Approx. 29 (2009) 369-406], we propose dual two-direction frames in dual Sobolev spaces (H(R), H−s(R)), with s > 0. Based on the dual two-direction frames from a pair of two-direction refinable functions, dual multiwavelet frames with symmetry {Ψ(x) := (ψ 1(x), ψ 2(x)) T }`=1 and {Ψ̃(x) : = (ψ̃ 1(x), ψ̃ 2(x)) }`=1 can be constructed very easily. The vanishing moment of the constructed multiwavelet frames is discussed. An example is given to illustrate our results.
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