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math.CA2021
A Unified Approach to Scalar, Vector, and Tensor Slepian Functions on the Sphere and Their Construction by a Commuting Operator
Volker Michel, Alain Plattner, Katrin Seibert
We present a unified approach for constructing Slepian functions - also known as prolate spheroidal wave functions - on the sphere for arbitrary tensor ranks including scalar, vect…
math.CA2013
Spatiospectral concentration of vector fields on a sphere
Alain Plattner, Frederik J. Simons
We construct spherical vector bases that are bandlimited and spatially concentrated, or, alternatively, spacelimited and spectrally concentrated, suitable for the analysis and repr…