SHIFT GENERATED DUAL FRAMES FOR LOCALLY COMPACT ABELIAN GROUPS
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 the Korean Mathematical Society
سال: 2012
ISSN: 0304-9914
DOI: 10.4134/jkms.2012.49.3.571