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We study a concentration problem on the unit sphere $$\mathbb {S}^2$$ S 2 for band-limited spherical harmonics expansions using large sieve methods. We derive upper bounds for concentration in terms… Click to show full abstract
We study a concentration problem on the unit sphere $$\mathbb {S}^2$$ S 2 for band-limited spherical harmonics expansions using large sieve methods. We derive upper bounds for concentration in terms of the maximum Nyquist density. Our proof uses estimates of the spherical harmonics coefficients of certain zonal filters. We also demonstrate an analogue of the classical large sieve inequality for spherical harmonics expansions.
Keywords:
spherical harmonics;
harmonics expansions;
large sieve;
harmonics;
concentration;
band limited
Journal Title: Journal of Fourier Analysis and Applications
Year Published: 2019
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Journal Title: Journal of Fourier Analysis and Applications
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!