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Your search keyword '"Collinear digit set"' showing total 2 results
Start Over Descriptor "Collinear digit set" Topic self-affine measure
2 results on '"Collinear digit set"'

1. Spectrality of self-affine measures with a four elements collinear digit set.

Author

Gui-Bao Gao and Xi-Yan Yao

Subjects
*AFFINE geometry, *SET theory, *ZERO-point field, *POINT set theory, *FOURIER transforms, *MEASURE theory
Abstract

In this paper, using the feature of zero-point sets Z(...M,D), where µM,D is the Fourier transform of self-affine measures µM,D, we discuss the spectrality and non-spectrality of the collinear digit set. We give a method to deal with the spectrality and non-spectrality with collinear case. The results here provides some supportive evidence to the two related conjectures. [ABSTRACT FROM AUTHOR]

Published
2015

2. Spectrality of self-affine measures with a four elements collinear digit set.

Author

Gui-Bao Gao and Xi-Yan Yao

Subjects
*MEASURE theory, *SET theory, *ZERO-point field, *FOURIER transforms, *LOGICAL prediction, *ITERATIVE methods (Mathematics)
Abstract

In this paper, using the feature of zero-point sets Z(µM,D), where µM,D is the Fourier transform of self-affine measures µM,D, we discuss the spectrality and non-spectrality of the collinear digit set. We give a method to deal with the spectrality and non-spectrality with collinear case. The results here provides some supportive evidence to the two related conjectures. [ABSTRACT FROM AUTHOR]

Published
2015

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