A unified approach to scalar, vector, and tensor Slepian functions on the sphere and their construction by a commuting operator
DOI10.1142/S0219530521500317zbMath1502.43008arXiv2103.14650OpenAlexW3147784257WikidataQ114072424 ScholiaQ114072424MaRDI QIDQ5089727
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Publication date: 15 July 2022
Published in: Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.14650
spherical harmonicsphereSlepian functionsconstructive approximationspin weightcommuting operatornumerically efficient constructiontensorial functions
Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Multidimensional problems (41A63) Approximation by polynomials (41A10) Computational methods for problems pertaining to geophysics (86-08) Spherical harmonics (33C55) Harmonic analysis and spherical functions (43A90) Eigenvalue problems for integral equations (45C05) Uniqueness and localization for orthogonal series (42C25)
Cites Work
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- Revisiting the concentration problem of vector fields within a spherical cap: a commuting differential operator solution
- Band-limited functions on a bounded spherical domain: The Slepian problem on the sphere
- Green's function solution to spherical gradiometric boundary-value problems
- Norms and exclusion theorems
- Spherical functions of mathematical geosciences. A scalar, vectorial, and tensorial setup
- Lectures on constructive approximation. Fourier, spline, and wavelet methods on the real line, the sphere, and the ball
- Spatiospectral concentration of vector fields on a sphere
- Fast spin \(\pm \)2 spherical harmonics transforms and application in cosmology
- Nonstationary wavelets on the \(m\)-sphere for scattered data
- Sparse regularization of inverse gravimetry—case study: spatial and temporal mass variations in South America
- Spherical Harmonics Based Special Function Systems and Constructive Approximation Methods
- Spatiospectral Concentration on a Sphere
- The relationship between monopole harmonics and spin-weighted spherical harmonics
- Differential Operators Commuting with Finite Convolution Integral Operators: Some Nonabelian Examples
- A general approach to regularizing inverse problems with regional data using Slepian wavelets
- On Finding the Eigenvalues of Real Symmetric Tridiagonal Matrices
- Spin-s Spherical Harmonics and ð
- Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I
- Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - II
- Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - IV: Extensions to Many Dimensions; Generalized Prolate Spheroidal Functions
- The Regularized Orthogonal Functional Matching Pursuit for Ill-Posed Inverse Problems
- The Theory of Vector Spherical Harmonics
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