Concentration estimates for band-limited spherical harmonics expansions via the large sieve principle
Langue
en
Article de revue
Ce document a été publié dans
Journal of Fourier Analysis and Applications. 2020, vol. 26, n° 3
Springer Verlag
Résumé en anglais
We study a concentration problem on the unit sphere 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 ...Lire la suite >
We study a concentration problem on the unit sphere 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.< Réduire
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