Ten lectures on wavelets
The Homogeneous Approximation Property for wavelet frames
Journal of Approximation Theory
Comparison theorems for separable wavelet frames
Journal of Approximation Theory
Optimal tight frames and quantum measurement
IEEE Transactions on Information Theory
Sigma-delta (ΣΔ) quantization and finite frames
IEEE Transactions on Information Theory
Sparse Recovery From Combined Fusion Frame Measurements
IEEE Transactions on Information Theory
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The paper considers the basis and frame properties of the system of weighted exponentials ${\mathcal{E}}(g,\mathbb{Z}\backslash F) = \{e^{2\pi i n x} g(x)\}_{n\in\mathbb{Z}\backslash F}$ in $L^{2}({\mathbb{T}})$ , where $g \in L^{2}({\mathbb{T}}) \backslash\{0\}$ and F驴驴. It is shown that many of the frame properties of ${\mathcal {E}}(g,\mathbb{Z}\backslash F)$ are affected by the cardinalities of F and the behavior of the zeros of g.