On Stability of Finitely Generated Shift-invariant Systems
نویسندگان
چکیده
We consider the problem of completely characterizing when a system of integer translates in a finitely generated shift-invariant subspace of L2(R) is stable in the sense that rectangular partial sums for the system are norm convergent. We prove that a system of integer translates is stable in L2(R) precisely when its associated Gram matrix satisfies a suitable Muckenhoupt A2 condition.
منابع مشابه
The structure of finitely generated shift - invariant spaces in L
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