Continuous and discrete Fourier frames for fractal measures
From MaRDI portal
Publication:5401719
DOI10.1090/S0002-9947-2013-05843-6zbMath1364.28006arXiv1110.1057MaRDI QIDQ5401719
Dorin Ervin Dutkay, Eric S. Weber, De Guang Han
Publication date: 12 March 2014
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1110.1057
Fractals (28A80) Fourier series and coefficients in several variables (42B05) Hausdorff and packing measures (28A78)
Related Items
Hadamard triples generate self-affine spectral measures ⋮ Fourier frames for the Cantor-4 set ⋮ On spectral Cantor-Moran measures and a variant of Bourgain's sum of sine problem ⋮ Translational absolute continuity and Fourier frames on a sum of singular measures ⋮ Uniformity of measures with Fourier frames ⋮ Frames of multi-windowed exponentials on subsets of \(\mathbb R^d\) ⋮ Stability of the Kaczmarz reconstruction for stationary sequences ⋮ Fourier series for singular measures ⋮ Spectral fractal measures associated to IFS’s consisting of three contraction mappings ⋮ $(p, q)$-frame measures on LCA groups: perturbations and construction ⋮ Frame measures for infinitely many measures ⋮ A Paley-Wiener type theorem for singular measures on \((-1/2, 1/2)\) ⋮ Isomorphism in wavelets ⋮ GENERALIZED BESSEL AND FRAME MEASURES
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the Beurling dimension of exponential frames
- Bessel sequences of exponentials on fractal measures
- Some properties of spectral measures
- \(\mu _{m,d}\)-orthogonality and compatible pair
- Beurling dimension of Gabor pseudoframes for affine subspaces
- Spectral property of the Bernoulli convolutions
- Analysis of \(\mu_{R,D}\)-orthogonality in affine iterated function systems
- On the spectra of a Cantor measure
- A fractal Plancherel theorem
- Dense analytic subspaces in fractal \(L^2\)-spaces
- Spectral pairs in Cartesian coordinates
- How large are the spectral gaps?
- Mock Fourier series and transforms associated with certain Cantor measures
- Frames associated with measurable spaces
- Fourier frames
- Affine systems: asymptotics at infinity for fractal measures
- Convergence of mock Fourier series
- Necessary density conditions for sampling an interpolation of certain entire functions
- Self-Similar Measures and Their Fourier Transforms. II
- [https://portal.mardi4nfdi.de/wiki/Publication:4344721 Pavages auto-affines, op�rateurs de transfert et crit�res de r�seau dans ? d]
- Weighted Paley-Wiener spaces
- A Class of Nonharmonic Fourier Series