Tree structure of spectra of spectral self-affine measures
Copyright policy )Tree structure of spectra of spectral self-affine measures
The authors consider integral self-affine spectral measures, such that the zeros of their Fourier transform are all integral vectors; and they prove that their spectrum has a tree structure. They also study the above problem relative to subsets, and obtain nice characterizations as well. Applications to known cases accomplish the paper.
- Fujian Normal University China (People's Republic of)
- Hunan Normal University China (People's Republic of)
compatible pair, Fractals, Hausdorff and packing measures, self-affine measure, Completeness of sets of functions in one variable harmonic analysis, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, spectrum, orthogonal basis
compatible pair, Fractals, Hausdorff and packing measures, self-affine measure, Completeness of sets of functions in one variable harmonic analysis, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, spectrum, orthogonal basis
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