Invariant subspaces of some function spaces on a locally compact group
نویسندگان
چکیده
منابع مشابه
Shift Invariant Spaces and Shift Preserving Operators on Locally Compact Abelian Groups
We investigate shift invariant subspaces of $L^2(G)$, where $G$ is a locally compact abelian group. We show that every shift invariant space can be decomposed as an orthogonal sum of spaces each of which is generated by a single function whose shifts form a Parseval frame. For a second countable locally compact abelian group $G$ we prove a useful Hilbert space isomorphism, introduce range funct...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 1985
ISSN: 0022-1236
DOI: 10.1016/0022-1236(85)90064-3