5 papers
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…
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…
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…
Nonuniform sampling and recovery of multidimensional bandlimited functions by Gaussian radial-basis functions
A. Bailey, Th. Schlumprecht, N. Sivakumar
Let be a bounded subset with positive Lebesgue measure. The Paley-Wiener space associated to , , is defined to be the set of all square-integrable functions…
Area of Polygons in Hyperbolic Geometry
Benjamin Aaron Bailey
Consider the Poincare disc model for hyperbolic geometry. In this paper, a convenient computational formula is developed along with an aesthetic geometric interpretation. Two proof…