Concentration Estimates for Band-Limited Spherical Harmonics Expansions via the Large Sieve Principle
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Fourier Analysis and Applications"
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
Time Domain Sampling of the Radial Functions in Spherical Harmonics Expansions
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Transactions on Signal Processing"
DOI: 10.1109/tsp.2021.3092892
Abstract: Spherical harmonics representations are widely adopted in applications such as analysis, manipulation, and synthesis of wave fields that are either captured or simulated. Recent studies have shown that, for broadband fields, a time domain representation… read more here.
Keywords: time; time domain; harmonics; harmonics expansions ... See more keywords