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• W2895986248 abstract "The invariance of the core subspace V0 of a GMRA under the group Γ of unitary operators implies the existence of a unitary representation of Γ on V0, thus enabling the use of tools from abstract harmonic analysis. Because of the required condition δ−1Γδ ⊂ Γ, the invariance of V0 also gives invariance of Vj for j > 0, and thus representations of Γ there as well. The invariance of V1 in turn implies the invariance of W0 = V1 ∖ V0, where the representation of Γ is useful in proving the existence of orthonormal or Parseval wavelets. In this chapter we explore results that follow from analyzing these representations of Γ." @default.
• W2895986248 created "2018-10-26" @default.
• W2895986248 creator A5004130903 @default.
• W2895986248 date "2018-01-01" @default.
• W2895986248 modified "2023-09-27" @default.
• W2895986248 title "The Invariance of the Core Subspace" @default.
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• W2895986248 doi "https://doi.org/10.1007/978-3-319-99175-7_2" @default.
• W2895986248 hasPublicationYear "2018" @default.
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