Analysis of μM, D‐orthogonal exponentials for the planar four‐element digit sets
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Publication:5408105
DOI10.1002/mana.201300009zbMath1291.28009OpenAlexW1562682468MaRDI QIDQ5408105
Publication date: 8 April 2014
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mana.201300009
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 (20)
The cardinality of \(\mu_{M,D}\)-orthogonal exponentials for the planar four digits ⋮ Fourier orthonormal bases of two dimensional Moran measures with four-element digits ⋮ A necessary and sufficient condition for the finite \(\mu_{M,D}\)-orthogonality ⋮ Hadamard triples generate self-affine spectral measures ⋮ Spectrality of self-affine measures and generalized compatible pairs ⋮ Spectrality of homogeneous Moran measures on \(\mathbb{R}^n\) ⋮ The spectral eigenmatrix problems of planar self-affine measures with four digits ⋮ 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 ⋮ ORTHOGONAL EXPONENTIAL FUNCTIONS OF THE PLANAR SELF-AFFINE MEASURES WITH FOUR DIGITS ⋮ On zeros and spectral property of self-affine measures ⋮ On spectra and spectral eigenmatrices of self-affine measures on \(\mathbb{R}^n\) ⋮ Infinite orthogonal exponentials for a class of Moran measures ⋮ Fourier Bases and Fourier Frames on Self-Affine Measures ⋮ Orthogonal exponentials of self-affine measures on ℝn ⋮ A class of spectral self-affine measures with four-element digit sets ⋮ A class of homogeneous Moran spectral measures with eight-element digit sets on \(\mathbb{R}^4\) ⋮ Non-spectrality of self-affine measures ⋮ Non-spectrality of Moran measures with four digits
Cites Work
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- Spectra of a class of self-affine measures
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- Analysis of orthogonality and of orbits in affine iterated function systems
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- On the \(\mu_{M,D}\)-orthogonal exponentials
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- 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
- On spectral Cantor measures
- Spectrality of a class of self-affine measures with decomposable digit sets
- Orthogonal Exponentials for Bernoulli Iterated Function Systems
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