3 papers
math.FA2024
Local spectral density and Slepian concentration for spherical Fourier-Bessel truncation spaces
Xinpeng Huang
We study diagonal kernel asymptotics and concentration spectra for a family of non-translation-invariant spectral projections in , . The projections are obta…
math.FA2023
Spatiospectral localization within the ball -- studies on the influence of the spectral shape
Christian Gerhards, Xinpeng Huang
We investigate the Slepian spatiospectral localization problem within subdomains of the -dimensional ball. Opposed to the more classical setups of the Euclidean space or the sph…
math.NA2023
Spherical Basis Functions in Hardy Spaces with Localization Constraints
Christian Gerhards, Xinpeng Huang
Subspaces obtained by the orthogonal projection of locally supported square-integrable vector fields onto the Hardy spaces and , respectively, pl…