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arXiv · 1909.01670

Concentration estimates for band-limited spherical harmonics expansions via the large sieve principle

Michael Speckbacher·Tomasz Hrycak
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Abstract

We study a concentration problem on the unit sphere $\mathbb{S}^2$ 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.

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Michael Speckbacher, Tomasz Hrycak. 2019-09-04. Concentration estimates for band-limited spherical harmonics expansions via the large sieve principle. https://arxiv.org/abs/1909.01670

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