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Decay properties of the discrete wavelet transform in n dimensions with independent dilation parameters
2016
Journal of Inequalities and Applications
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The purpose of this paper is to study the decay properties of the discrete wavelet transform with n independent dilation parameters for functions f in L 2 (R n ) and a relationship with its continuity. The method we used to study the discrete wavelet transform of f with respect to a radially symmetric admissible function was through the fact of considering two parameters in Z n . We conclude that the continuity of f at x = 0 is determined by the existence of the limit of the discrete wavelet
doi:10.1186/s13660-016-0961-z
fatcat:ehkwu6ulmjdidhd2g4cdqnlcfq