Concentration estimates for band-limited spherical harmonics expansions via the large sieve principle
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en
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Journal of Fourier Analysis and Applications. 2020, vol. 26, n° 3
Springer Verlag
Resumen en inglés
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 ...Leer más >
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.< Leer menos
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