Spatiospectral Concentration on a Sphere

  title={Spatiospectral Concentration on a Sphere},
  author={Frederik J. Simons and F. A. Dahlen and Mark A. Wieczorek},
  journal={SIAM Review},
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… CONTINUE READING
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