9,843 research outputs found

    p-Riesz bases in quasi shift invariant spaces

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    Let 1≤p<∞ 1\leq p< \infty and let ψ∈Lp(Rd)\psi\in L^{p}(\R^d). We study p−p-Riesz bases of quasi shift invariant spaces Vp(ψ;Y)V^p(\psi;Y)

    Stability of exponential bases on d- dimensional domains

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    We find explicit stability bounds for exponential Riesz bases on domains of R^d. Our results generalize Kadec theorem and other stability theorems in the literature.Comment: We have discovered an error in Theorem 1.
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