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Average sampling theorems for shift invariant subspaces

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Publication:866213
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zbMath1232.94011MaRDI QIDQ866213

Xing-Wei Zhou, Wen-chang Sun

Publication date: 20 February 2007

Published in: Science in China. Series E (Search for Journal in Brave)



Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Sampling theory in information and communication theory (94A20)


Related Items (8)

Reconstruction of functions in spline subspaces from local averages ⋮ Vector sampling expansions in shift invariant subspaces ⋮ Generalized average sampling in shift invariant spaces ⋮ Average sampling in shift invariant subspaces with symmetric averaging functions ⋮ An optimal result for sampling density in shift-invariant spaces generated by Meyer scaling function ⋮ Local sampling theorems for spaces generated by splines with arbitrary knots ⋮ Approximation of weak sense stationary stochastic processes from local averages ⋮ Characterization of local sampling sequences for spline subspaces






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