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2002

Average sampling in spline subspaces

9 years 3 months ago
Average sampling in spline subspaces
Let V () be a shift invariant subspace of L2 (R) generated by a Riesz or frame generator (t) in L2 (R). We assume that (t) is suitably chosen so that the regular sampling expansion f(t) = nZ f(n)Sn(t), f V () holds. In this paper, we find sufficient conditions of the generator (t) and a sequence of averaging functions {un(t)}n under which average sampling expansion f(t) = nZ < f, un > Sn(t), f V () holds. The results provided in the paper improve some previous work on average sampling in shift invariant spaces. REFERENCES
Wenchang Sun, Xingwei Zhou
Added 16 Dec 2010
Updated 16 Dec 2010
Type Journal
Year 2002
Where APPML
Authors Wenchang Sun, Xingwei Zhou
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