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math.FA2018★ 2 cited
Spatio-spectral limiting on hypercubes: eigenspaces
Jeffrey A. Hogan, Joseph D. Lakey
The operator that first truncates to a neighborhood of the origin in the spectral domain then truncates to a neighborhood of the origin in the spatial domain is investigated in the…
math.FA2018
Quaternionic Fundamental Cardinal Splines: Interpolation and Sampling
Jeffrey A. Hogan, Peter R. Massopust
B-splines , $\Sc q > 1$, of quaternionic order , for short quaternionic B-splines, are quaternion-valued piecewise Müntz polynomials whose scalar parts interpolate the cl…