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Irregular wavelet frames on \(L^2(\mathbb R^n)\) - MaRDI portal

Irregular wavelet frames on \(L^2(\mathbb R^n)\) (Q2574666)

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Irregular wavelet frames on \(L^2(\mathbb R^n)\)
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    Irregular wavelet frames on \(L^2(\mathbb R^n)\) (English)
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    30 November 2005
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    Sufficient conditions for a semi-regular wavelet system \(\{s_j^{n/2}\psi(s_j \cdot -kb)\}_{j\in Z,k\in Z^n}\) to form a frame for \(L^2(R^n)\) are presented. Under certain conditions, it is proved that a frame of that form remains a frame if \(b\) or \(\psi\) is perturbed.
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    irregular wavelet frames
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    perturbation
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    stability
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