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Matches in SemOpenAlex for { <https://semopenalex.org/work/W2007506722> ?p ?o ?g. }

• W2007506722 abstract "We consider wavelets in L2(Rd) which have generalized multiresolutions. This means that the initial resolution subspace V0 in L2(Rd) is not singly generated. As a result, the representation of the integer lattice Zd restricted to V0 has a nontrivial multiplicity function. We show how the corresponding analysis and synthesis for these wavelets can be understood in terms of unitary-matrix-valued functions on a torus acting on a certain vector bundle. Specifically, we show how the wavelet functions on Rd can be constructed directly from the generalized wavelet filters." @default.
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• W2007506722 date "2005-07-25" @default.
• W2007506722 modified "2023-10-16" @default.
• W2007506722 title "Construction of Parseval wavelets from redundant filter systems" @default.
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• W2007506722 doi "https://doi.org/10.1063/1.1982768" @default.
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