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- W3140339162 abstract "Since a frame for a Hilbert space must be a Bessel sequence, many results on(quasi-)affine bi-frame are established under the premise that the corresponding(quasi-)affine systems are Bessel sequences. However,it is very technical to construct a(quasi-)affine Bessel sequence. Motivated by this observation, in this paper we introduce the notion of weak(quasi-)affine bi-frame(W(Q)ABF) in a general reducing subspace for which the Bessel sequence hypothesis is not needed. We obtain a characterization of WABF, and prove the equivalence between WABF and WQABF under a mild condition. This characterization is used to recover some related known results in the literature." @default.
- W3140339162 created "2021-04-13" @default.
- W3140339162 creator A5038850742 @default.
- W3140339162 date "2015-01-01" @default.
- W3140339162 modified "2023-09-23" @default.
- W3140339162 title "Weak(quasi-)affine bi-frames for reducing subspaces of L~2(R~d)" @default.
- W3140339162 hasPublicationYear "2015" @default.
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