On spectral Cantor measures
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Publication:1849077
DOI10.1006/jfan.2001.3941zbMath1016.28009arXivmath/0109126OpenAlexW2062163380MaRDI QIDQ1849077
Publication date: 28 November 2002
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0109126
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fractals (28A80) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)
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Cites Work
- Unnamed Item
- Unnamed Item
- 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
- Tiling the integers with translates of one finite set
- Spectral pairs in Cartesian coordinates
- Spectral sets and factorizations of finite abelian groups
- Orthonormal bases of exponentials for the \(n\)-cube
- Mock Fourier series and transforms associated with certain Cantor measures
- Commuting self-adjoint partial differential operators and a group theoretic problem
- Self-similarity in harmonic analysis
- Tiling the line with translates of one tile
- Harmonic analysis of fractal measures
- Orthogonality criteria for compactly supported refinable functions and refinable function vectors
- Fuglede’s conjecture for a union of two intervals
- Sampling Theory for Functions with Fractal Spectrum
- Packing, Tiling, Orthogonality and Completeness
- Self-similar lattice tilings
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