Spectral self-affine measures on the spatial Sierpinski gasket

DOI10.1007/s00605-014-0725-0zbMath1312.28007OpenAlexW2093968637MaRDI QIDQ2255265

Jian-Lin Li

Publication date: 9 February 2015

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-014-0725-0

zbMATH Keywords

iterated function systemspectralityself-affine measureorthogonal exponentials

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fractals (28A80)

Related Items (10)

The exact number of orthogonal exponentials on the spatial Sierpinski gasket ⋮ Hadamard triples generate self-affine spectral measures ⋮ Spectrality and non-spectrality of some Moran measures in \(\mathbb{R}^3\) ⋮ The exact number of orthogonal exponentials of a class of Moran measures on \(\mathbb{R}^3\) ⋮ Fourier Bases and Fourier Frames on Self-Affine Measures ⋮ Spectral property of self-affine measures on \(\mathbb{R}^n\) ⋮ There are eight‐element orthogonal exponentials on the spatial Sierpinski gasket ⋮ Non-spectrality of self-affine measures on the spatial Sierpinski gasket ⋮ The maximal cardinality of \(\mu_{M,D}\)-orthogonal exponentials on the spatial Sierpinski gasket ⋮ Spectrality of certain self-affine measures on the generalized spatial Sierpinski gasket

Cites Work

• Spectra of a class of self-affine measures
• Analysis of orthogonality and of orbits in affine iterated function systems
• On the \(\mu_{M,D}\)-orthogonal exponentials
• The cardinality of certain \(\mu _{M,D}\)-orthogonal exponentials
• Dense analytic subspaces in fractal \(L^2\)-spaces
• Remarks on ``Dense analytic subspaces in fractal \(L^2\)-spaces by P. E. T. Jorgensen and S. Pedersen
• Mock Fourier series and transforms associated with certain Cantor measures
• Harmonic analysis of fractal measures
• Spectrality of self-affine measures on the three-dimensional Sierpinski gasket
• SPECTRAL SELF-AFFINE MEASURES IN $\mathbb{R}^N$
• Unnamed Item

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