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- W4301375804 abstract "Let $N$ be the Heisenberg group. We consider left-invariant multiplicity free subspaces of $L^2(N)$. We prove a necessary and sufficient density condition in order that such subspaces possess the interpolation property with respect to a class of discrete subsets of $N$ that includes the integer lattice. We exhibit a concrete example of a subspace that has interpolation for the integer lattice, and we also prove a necessary and sufficient condition for shift invariant subspaces to possess a singly-generated orthonormal basis of translates." @default.
- W4301375804 created "2022-10-05" @default.
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- W4301375804 date "2010-07-23" @default.
- W4301375804 modified "2023-09-27" @default.
- W4301375804 title "A Density Condition for Interpolation on the Heisenberg Group" @default.
- W4301375804 doi "https://doi.org/10.48550/arxiv.1007.4043" @default.
- W4301375804 hasPublicationYear "2010" @default.
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