A Characterization of Orthonormal Multilevel Wavelet Families in Sobolev Space over Local Fields of Positive Characteristic
Keywords:Wavelets, Orthonormal wavelet families, Local fields, Wavelets ; Orthonormal wavelet families; Local elds; Sobolev space; Fourier transform;, Multiwavelet; orthonormal; Fourier transform; local field.
In this paper, a characterization of orthonormal multilevel wavelet families in Sobolev space over a local fields of positive characteristic $(H^s(K))$ is established. Finally an example is presented.
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