Locally Finitely Dimensional Shift-invariant Spaces in R
نویسندگان
چکیده
We prove that a locally finitely dimensional shiftinvariant linear space of distributions must be a linear subspace of some shift-invariant space generated by finitely many compactly supported distributions. If the locally finitely dimensional shiftinvariant space is a subspace of the Hölder continuous space C or the fractional Sobolev space L , then the superspace can be chosen to be C or L , respectively.
منابع مشابه
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