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math.NA2010
Multivariate polynomial interpolation and sampling in Paley-Wiener spaces
B. A. Bailey
In this paper, an equivalence between existence of particular exponential Riesz bases for multivariate bandlimited functions and existence of certain polynomial interpolants for th…
math.NA2010
An asymptotic equivalence between two frame perturbation theorems
B. A. Bailey
In this paper, two stability results regarding exponential frames are compared. The theorems, (one proven herein, and the other in \cite{SZ}), each give a constant such that if $\s…
math.NA2010
Sampling and Recovery of Multidimensional Bandlimited Functions via Frames
Benjamin Aaron Bailey
In this paper, we investigate frames for consisting of exponential functions in connection to oversampling and nonuniform sampling of bandlimited functions. We derive…