Semi-orthogonal wavelet frames on local fields
We investigate semi-orthogonal wavelet frames on local fields of positive characteristic and
provide a characterization of frame wavelets by means of some basic equations in the
frequency domain. The theory of frame multiresolution analysis recently proposed by Shah
on local fields is used to establish equivalent conditions for a finite number of functions ψ 1,
ψ 2,…, ψ L in L 2(K) to generate a semi-orthogonal wavelet frame for L 2(K).
provide a characterization of frame wavelets by means of some basic equations in the
frequency domain. The theory of frame multiresolution analysis recently proposed by Shah
on local fields is used to establish equivalent conditions for a finite number of functions ψ 1,
ψ 2,…, ψ L in L 2(K) to generate a semi-orthogonal wavelet frame for L 2(K).
Abstract
We investigate semi-orthogonal wavelet frames on local fields of positive characteristic and provide a characterization of frame wavelets by means of some basic equations in the frequency domain. The theory of frame multiresolution analysis recently proposed by Shah on local fields is used to establish equivalent conditions for a finite number of functions in to generate a semi-orthogonal wavelet frame for .
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