Wavelet Analysis on Local Fields of Positive Characteristic

Abstract

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A Note on Boundedness of Singular Integral Operators on Function Spaces over Local Fields

“…Jiang, Li and Jin [13] have introduced the concept of multiresolution analysis and wavelet frames on local fields of positive characteristic [14]. Later, Behera and Jahan have developed the theory of wavelets on such a field (see [1,2]). Recently, Lukomskii and Vodolazov [15] gave the fast algorithm for the discrete Fourier transform on local fields of characteristic zero.…”