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- W1867376651 abstract "We will establish in this note a stability result for sparse convolutions on torsion-free additive (discrete) abelian groups. Sparse convolutions on torsion-free groups are free of cancellations and hence admit stability, i.e. injectivity with a universal lower bound $alpha=alpha(s,f)$, only depending on the cardinality $s$ and $f$ of the supports of both input sequences. More precisely, we show that $alpha$ depends only on $s$ and $f$ and not on the ambient dimension. This statement follows from a reduction argument which involves a compression into a small set preserving the additive structure of the supports." @default.
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- W1867376651 date "2013-12-08" @default.
- W1867376651 modified "2023-09-27" @default.
- W1867376651 title "A Stability Result for Sparse Convolutions" @default.
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