科研之友
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摘要
We consider left invariant multiplicity free subspaces of L-2(N) where N is the Heisenberg group. 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.
- 出版日期2012
