Article Dans Une Revue Sampling Theory, Signal Processing, and Data Analysis Année : 2021

CONCENTRATION ESTIMATES FOR FINITE EXPANSIONS OF SPHERICAL HARMONICS ON TWO-POINT HOMOGENEOUS SPACES VIA THE LARGE SIEVE PRINCIPLE

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We study the concentration problem on compact two-point homogeneous spaces of finite expansions of eigenfunctions of the Laplace-Beltrami operator 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 basis coefficients of certain zonal filters and an ordering result for Jacobi polynomials for arguments close to one.

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hal-02532791 , version 1 (06-04-2020)

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Philippe Jaming, Michael Speckbacher. CONCENTRATION ESTIMATES FOR FINITE EXPANSIONS OF SPHERICAL HARMONICS ON TWO-POINT HOMOGENEOUS SPACES VIA THE LARGE SIEVE PRINCIPLE. Sampling Theory, Signal Processing, and Data Analysis, 2021, 19 (1), pp.9. ⟨10.1007/s43670-021-00008-0⟩. ⟨hal-02532791⟩
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