Titlebook: Wavelet Analysis on Local Fields of Positive Characteristic; Biswaranjan Behera,Qaiser Jahan Book 2021 The Editor(s) (if applicable) and T

TATE

Wavelets as Unconditional Bases,stem is a greedy basis of . for .. Further, we provide sufficient conditions on a set of basic wavelets so that the corresponding wavelet system forms an unconditional basis for ., ., and the Hardy space ..

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Local Fields,al examples of locally compact groups and describe their Haar measures. We provide the classification of local fields and discuss some of their properties. We study the .- and .-theory of the Fourier transform on a local field. Test functions and distributions on local fields are introduced. This en

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Local Fields,al examples of locally compact groups and describe their Haar measures. We provide the classification of local fields and discuss some of their properties. We study the .- and .-theory of the Fourier transform on a local field. Test functions and distributions on local fields are introduced. This en

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周兴旺

INERT

,Affine, Quasi-affine and Co-affine Frames,nding quasi-affine system . is a quasi-affine frame. Moreover, their exact lower and upper bounds are equal. This result also holds for Bessel families. We characterize the translation invariance of a sesquilinear operator associated with a pair of affine systems. Then we define the affine and quasi

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Characterizations of Functions Associated with Wavelet Analysis,elets and low-pass filters. We introduce the concepts of MSF multiwavelets, multiwavelet sets, generalized scaling sets and scaling sets in . and characterize them. We construct examples of multiwavelet sets and wavelet sets. In particular, we construct examples of unbounded wavelet sets and show th

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Characterizations of Functions Associated with Wavelet Analysis,elets and low-pass filters. We introduce the concepts of MSF multiwavelets, multiwavelet sets, generalized scaling sets and scaling sets in . and characterize them. We construct examples of multiwavelet sets and wavelet sets. In particular, we construct examples of unbounded wavelet sets and show th

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Biorthogonal Wavelets,ing functions of two multiresolution analyses (MRAs) such that their translates are biorthogonal, then the associated families of wavelets are also biorthogonal. Under mild decay conditions on the scaling functions and the wavelets, we also show that the wavelets generate Riesz bases for .. First, w