Shift Invariant Spaces for Local Fields
نویسندگان
چکیده
This paper is an investigation of shift invariant subspaces of L2(G), where G is a locally compact abelian group, or in general a local field, with a compact open subgroup. In this paper we state necessary and sufficient conditions for shifts of an element of L2(G) to be an orthonormal system or a Parseval frame. Also we show that each shift invariant subspace of L2(G) is a direct sum of principle shift invariant subspaces of L2(G) generated by Parseval frame generators.
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ورودعنوان ژورنال:
- IJWMIP
دوره 9 شماره
صفحات -
تاریخ انتشار 2011