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- W2192631437 abstract "A bounded, Riemann integrable and measurable set $Ksubset mathbb{R}^d$, which fulfills [sumlimits_{gammainGamma}mathbb{1}_K(x-gamma)=ktext{ almost everywhere, $xinmathbb{R}^d$}] for a lattice $Gammasubsetmathbb{R}^d$ is called $k$-tiling. If $Ksubsetmathbb{R}^d$ is $k$-tiling $L^2(K)$ will admit a Riesz basis of exponentials. We use this result to construct generalized Riesz wavelet bases of $L^2(mathbb{R}^2)$, arising from the action of suitable subsets of the affine group. One example of our construction is the first known shearlet Riesz basis." @default.
- W2192631437 created "2016-06-24" @default.
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- W2192631437 date "2015-10-07" @default.
- W2192631437 modified "2023-09-27" @default.
- W2192631437 title "Wavelet Riesz bases associated to nonisotropic dilations" @default.
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