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Oversampling of wavelet frames for real dilations
wavelets affine frames real dilations Second Oversampling Theorem shift invariant subspaces
2012/4/16
We generalize the Second Oversampling Theorem for wavelet frames and dual wavelet frames from the setting of integer dilations to real dilations. We also study the relationship between dilation matrix...
Wavelet analysis on adeles and pseudo-differential operators
Adeles wavelets multiresolution analysis pseudo-differential operators fractional operator
2011/8/31
Abstract: This paper is devoted to wavelet analysis on adele ring $\bA$ and the theory of pseudo-differential operators. We develop the technique which gives the possibility to generalize finite-dimen...