Concentration Estimates for Band-Limited Spherical Harmonics Expansions via the Large Sieve Principle
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DOI: 10.1007/s00041-020-09744-8
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.… read more here.
Keywords: spherical harmonics; harmonics expansions; large sieve; harmonics ... See more keywords
A LOWER BOUND FOR THE LARGE SIEVE WITH SQUARE MODULI
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DOI: 10.1017/s0004972719000224
Abstract: We prove a lower bound for the large sieve with square moduli. read more here.
Keywords: sieve square; bound large; lower bound; square moduli ... See more keywords
The large sieve with power moduli for ℤ[i]
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DOI: 10.1142/s1793042118501658
Abstract: We establish a large sieve inequality for power moduli in [Formula: see text], extending earlier work by Zhao and the first-named author on the large sieve for power moduli for the classical case of moduli… read more here.
Keywords: large sieve; see text; formula see; power moduli ... See more keywords
The large sieve with power moduli in imaginary quadratic number fields
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DOI: 10.1142/s1793042122500877
Abstract: In this paper, we establish large sieve inequalities for power moduli in imaginary quadratic number fields, extending earlier work of Baier and Bansal [S. Baier and A. Bansal, The large sieve with power moduli for… read more here.
Keywords: number; power moduli; imaginary quadratic; large sieve ... See more keywords