25 citations · 26 across the 5 of their papers we have counts for
5 papers
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…
Internal and external potential-field estimation from regional vector data at varying satellite altitude
Alain Plattner, Frederik J. Simons
When modeling global satellite data to recover a planetary magnetic or gravitational potential field and evaluate it elsewhere, the method of choice remains their analysis in terms…
Potential-field estimation from satellite data using scalar and vector Slepian functions
Alain Plattner, Frederik J. Simons
In the last few decades a series of increasingly sophisticated satellite missions has brought us gravity and magnetometry data of ever improving quality. To make optimal use of thi…
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…
Scalar and vector Slepian functions, spherical signal estimation and spectral analysis
Frederik J. Simons, Alain Plattner
It is a well-known fact that mathematical functions that are timelimited (or spacelimited) cannot be simultaneously bandlimited (in frequency). Yet the finite precision of measurem…