M-Channel MRA and Application to Anisotropic Sobolev Spaces
نویسنده
چکیده
In this paper we construct compactly supported biorthogonal wavelet bases of the interval, with dilation factorM . Next, the natural MRA on the cube arising from the tensor product of a multilevel decomposition of the unit interval is developed. New Jackson and Bernstein type inequalities are proved, providing a characterization for anisotropic Sobolev spaces. AMS Subject Classification: 42C15.
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ورودعنوان ژورنال:
- IJWMIP
دوره 3 شماره
صفحات -
تاریخ انتشار 2005