Abstract:
Discrete periodic multiresolution analysis. Multiresolution analyses in the space of discrete periodic complex-valued functions are studied. Characterization of a multiresolution analysis in terms of Fourier coefficients of functions that form a corresponding scaling sequence is obtained. An example of a multiresolution analysis with scaling sequence that consists of trigonometric polynomials with minimally supported spectrum is provided.
Key words and phrases:discrete wavelets, discrete multiresolution analysis, periodic wavelets, periodic multiresolution analysis.
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