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• W2036778824 abstract "Abstract Let V be any shift-invariant subspace of square summable functions. We prove that if for some A expansive dilation V is A-refinable, then the completeness property is equivalent to several conditions on the local behaviour at the origin of the spectral function of V, among them the origin is a point of A*-approximate continuity of the spectral function if we assume this value to be one. We present our results also in a more general setting of A-reducing spaces. We also prove that the origin is a point of A*-approximate continuity of the Fourier transform of any semiorthogonal tight frame wavelet if we assume this value to be zero." @default.
• W2036778824 created "2016-06-24" @default.
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• W2036778824 date "2013-01-01" @default.
• W2036778824 modified "2023-09-26" @default.
• W2036778824 title "Closure of dilates of shift-invariant subspaces" @default.
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• W2036778824 doi "https://doi.org/10.2478/s11533-013-0275-z" @default.
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