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- W3154335455 abstract "The translation of an operator is defined by using conjugation with time-frequency shifts. Thus, one can define $Lambda$-shift-invariant subspaces of Hilbert-Schmidt operators, finitely generated, with respect to a lattice $Lambda$ in $mathbb{R}^{2d}$. These spaces can be seen as a generalization of classical shift-invariant subspaces of square integrable functions. Obtaining sampling results for these subspaces appears as a natural question that can be motivated by the problem of channel estimation in wireless communications. These sampling results are obtained in the light of the frame theory in a separable Hilbert space." @default.
- W3154335455 created "2021-04-26" @default.
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- W3154335455 date "2021-04-16" @default.
- W3154335455 modified "2023-09-27" @default.
- W3154335455 title "Sampling in $Lambda$-shift-invariant subspaces of Hilbert-Schmidt operators on $L^2(mathbb{R}^d)$" @default.
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