Regularity of Refinable Functions with Exponentially Decaying Masks
نویسندگان
چکیده
The smoothness property of refinable functions is an important issue in all multiresolution analysis and has a strong impact on applications of wavelets to image processing, geometric and numerical solutions of elliptic partial differential equations. The purpose of this paper is to characterize the smoothness properties of refinable functions with exponentially decaying masks and an isotropic dilation matrix by analyzing the spectral properties of associated transfer operators. The main results of this paper are really extensions of some results in [5], [14] and [25]. AMS subject classification: 42C15, 39B99, 46B15, 41A15, 42A05
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