# Spatiospectral Concentration on a Sphere

@article{Simons2006SpatiospectralCO, title={Spatiospectral Concentration on a Sphere}, author={Frederik J. Simons and Francis Anthony Dahlen and Mark A. Wieczorek}, journal={SIAM Rev.}, year={2006}, volume={48}, pages={504-536} }

We pose and solve the analogue of Slepian's time-frequency concentration problem on the surface of the unit sphere to determine an orthogonal family of strictly bandlimited functions that are optimally concentrated within a closed region of the sphere or, alternatively, of strictly spacelimited functions that are optimally concentrated in the spherical harmonic domain. Such a basis of simultaneously spatially and spectrally concentrated functions should be a useful data analysis and…

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## 310 Citations

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