Biorthogonal Multiresolution Analyses and Decompositions of Sobolev Spaces
نویسندگان
چکیده
The object of this paper is to construct extension operators in the Sobolev spacesHk(]−∞,0]) andHk([0,+∞[) (k≥ 0). Thenwe use these extensions to get biorthogonal wavelet bases inHk(R). We also give a construction in L2([−1,1]) to see how to obtain boundaries functions. 2000 Mathematics Subject Classification. 41A58, 42C15.
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