Irregular sampling of band-limited functions on the sphere

DOI10.1016/J.ACHA.2014.05.001zbMath1297.65022OpenAlexW2078806665MaRDI QIDQ741270

Pencho P. Petrushev, Kamen G. Ivanov

Publication date: 11 September 2014

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.acha.2014.05.001

zbMATH Keywords

convergenceiterative algorithmspherical harmonicsfast computationneedletsirregular samplingband-limited functions on the sphere

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Spherical harmonics (33C55)

Related Items (4)

Sobolev estimates for constructive uniform-grid FFT interpolatory approximations of spherical functions ⋮ Spherical random sampling of localized functions on 𝕊ⁿ⁻¹ ⋮ Fast memory efficient evaluation of spherical polynomials at scattered points ⋮ Highly effective stable evaluation of bandlimited functions on the sphere

Uses Software

• Unnamed Item
• Chebfun

Cites Work

• Unnamed Item
• Decomposition of Besov and Triebel-Lizorkin spaces on the sphere
• Irregular sampling theorems and series expansions of band-limited functions
• Efficient numerical methods in non-uniform sampling theory
• Fast spherical Fourier algorithms.
• Efficient reconstruction of functions on the sphere from scattered data
• Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature
• Localized Tight Frames on Spheres
• Stability Results for Scattered Data Interpolation by Trigonometric Polynomials
• A Fast Algorithm for the Calculation of the Roots of Special Functions
• Iterative Reconstruction of Multivariate Band-Limited Functions from Irregular Sampling Values
• A New Algorithm for the Nonequispaced Fast Fourier Transform on the Rotation Group
• Approximation Theory and Harmonic Analysis on Spheres and Balls

This page was built for publication: Irregular sampling of band-limited functions on the sphere