Smoothness characterization and stability of nonlinear and non-separable multiscale representations
نویسندگان
چکیده
The aim of the paper is the construction and the analysis of nonlinear and non-separable multi-scale representations for multivariate functions. The proposed multi-scale representation is associated with a non-diagonal dilation matrix M . We show that the smoothness of a function can be characterized by the rate of decay of its multi-scale coefficients. We also study the stability of these representations, a key issue in the designing of adaptive algorithms.
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عنوان ژورنال:
- Journal of Approximation Theory
دوره 163 شماره
صفحات -
تاریخ انتشار 2011