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Sampling in Spaces of Bandlimited Functions on Commutative Spaces
Sampling bandlimited functions reproducing kernel Hilbert spaces Gelfand pairs commutative spaces representation theory
2011/9/19
Abstract: A connected homogeneous space X=G/K is called commutative if G is a connected Lie group, $K$ is a compact subgroup and the B*-algebra L^1(X)^K of K-invariant integrable function on X is comm...
Sampling and Recovery of Multidimensional Bandlimited Functions via Frames
Sampling and Recovery Multidimensional Bandlimited Functions
2010/12/3
In this paper, we investigate frames for L2[−, ]d consisting of exponential functions in connection to oversampling and nonuniform sampling of bandlimited func-tions.