Spectrality of the planar Sierpinski family
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Publication:493798
DOI10.1016/J.JMAA.2015.06.064zbMath1364.42030OpenAlexW849727597MaRDI QIDQ493798
Xing-Gang He, Li-Xiang An, Li Tao
Publication date: 4 September 2015
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.06.064
spectral measureHadamard tripleinfinite convolutionorthonormal basis of exponential functionsSierpinski gasketsSierpinski measures
Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fractals (28A80) Other transformations of harmonic type (42C20)
Related Items (22)
On the spectra of Sierpinski-type self-affine measures ⋮ On spectra and spectral eigenmatrix problems of the planar Sierpinski measures ⋮ Spectrality of a class of planar self-affine measures with three-element digit sets ⋮ SPECTRUM OF A SELF-AFFINE MEASURE WITH FOUR-ELEMENT DIGIT SET ⋮ The cardinality of orthogonal exponentials of planar self-affine measures with three-element digit sets ⋮ Tree structure of spectra of spectral self-affine measures ⋮ Spectrality of homogeneous Moran measures on \(\mathbb{R}^n\) ⋮ Tiling and spectrality for generalized Sierpinski self-affine sets ⋮ The spectral eigenmatrix problems of planar self-affine measures with four digits ⋮ On the spectra of a class of self-affine measures on \(\mathbb{R}^2\) ⋮ Non-spectral problem for the planar self-affine measures with decomposable digit sets ⋮ The spectrality of a class of fractal measures on \(\mathbb{R}^n \) ⋮ NON-SPECTRALITY OF THE PLANAR SELF-AFFINE MEASURES WITH FOUR-ELEMENT DIGIT SETS ⋮ Fourier bases of a class of planar self-affine measures ⋮ On the spectra of a class of Moran measures ⋮ The spectrality of self-affine measure under the similar transformation of \(GL_n(p)\) ⋮ Fourier bases of the planar self‐affine measures with three digits ⋮ On zeros and spectral property of self-affine measures ⋮ On spectra and spectral eigenmatrices of self-affine measures on \(\mathbb{R}^n\) ⋮ Uniformity of spectral self-affine measures ⋮ Spectrality of generalized Sierpinski-type self-affine measures ⋮ INFINITE ORTHOGONAL EXPONENTIALS OF A CLASS OF SELF-AFFINE MEASURES
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