An alternative to Slepian functions on the unit sphere -- a space-frequency analysis based on localized spherical polynomials
DOI10.1016/j.acha.2014.03.009zbMath1307.42025arXiv1307.3862OpenAlexW2964063883MaRDI QIDQ2512833
Publication date: 30 January 2015
Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1307.3862
spherical harmonicsJacobi matricesultraspherical polynomialsSlepian functionsspace-frequency analysis on the unit sphere
Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Fourier series and coefficients in several variables (42B05) Eigenvalue problems for integral equations (45C05) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)
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- Optimally space localized polynomials with applications in signal processing
- Applications of the monotonicity of extremal zeros of orthogonal polynomials in interlacing and optimization problems
- Band-limited functions on a bounded spherical domain: The Slepian problem on the sphere
- Optimally space-localized band-limited wavelets on \(\mathbb {S}^{q-1}\)
- Uncertainty principles on compact Riemannian manifolds
- Weak convergence of CD kernels and applications
- Eigenvalue distribution of time and frequency limiting
- An uncertainty principle for ultraspherical expansions
- Fast spherical Fourier algorithms.
- An orthogonal polynomial analogue of the Landau-Pollak-Slepian time-frequency analysis
- Spatiospectral concentration of vector fields on a sphere
- Spherical harmonics
- Nonstationary wavelets on the \(m\)-sphere for scattered data
- Using NFFT 3---A Software Library for Various Nonequispaced Fast Fourier Transforms
- Slepian functions on the sphere, generalized Gaussian quadrature rule
- Optimally Localized Approximate Identities on the 2-Sphere
- Spatiospectral Concentration on a Sphere
- Fast summation based on fast trigonometric transforms at non‐equispaced nodes
- Differential Operators Commuting with Finite Convolution Integral Operators: Some Nonabelian Examples
- Prolate Spheroidal Wave Functions, Fourier Analysis, and Uncertainty-V: The Discrete Case
- Fast algorithms for discrete polynomial transforms
- Approximation Theory and Harmonic Analysis on Spheres and Balls
- 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-III: The Dimension of the Space of Essentially Time- and Band-Limited Signals
- Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - IV: Extensions to Many Dimensions; Generalized Prolate Spheroidal Functions
- Functional analysis
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