Riemann localisation on the sphere
From MaRDI portal
Publication:1704868
DOI10.1007/s00041-016-9496-4zbMath1386.42027arXiv1510.06834OpenAlexW2963861007WikidataQ60138313 ScholiaQ60138313MaRDI QIDQ1704868
Ian H. Sloan, Yu Guang Wang, Robert S. Womersley
Publication date: 13 March 2018
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1510.06834
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) General harmonic expansions, frames (42C15) Approximation by polynomials (41A10) Spherical harmonics (33C55) Uniqueness of trigonometric expansions, uniqueness of Fourier expansions, Riemann theory, localization (42A63)
Related Items
Distributed learning via filtered hyperinterpolation on manifolds, Flexible-bandwidth needlets, Distributed Filtered Hyperinterpolation for Noisy Data on the Sphere
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Almost-everywhere convergence of Fourier integrals for functions in Sobolev spaces, and an \(L^ 2\)-localisation principle
- Combined spherical harmonic and wavelet expansion -- a future concept in earth's gravitational determination
- Sub-exponentially localized kernels and frames induced by orthogonal expansions
- Asymptotics for spherical needlets
- Adaptive density estimation for directional data using needlets
- Pointwise Fourier inversion and localisation in \(\mathbb{R}^n\)
- Pointwise Fourier inversion: A wave equation approach
- Wavelets generated by layer potentials.
- Multivariate approximating averages.
- On the representation of smooth functions on the sphere using finitely many bits
- Localization and convergence of eigenfunction expansions
- Pointwise Fourier inversion on tori and other compact manifolds
- Wavelets on the two-sphere and other conic sections
- Fully discrete needlet approximation on the sphere
- Localized polynomial frames on the interval with Jacobi weights
- Riemann's localization theorem for Fourier series
- Random Fields on the Sphere
- A combination of downward continuation and local approximation for harmonic potentials
- Spatiospectral Concentration on a Sphere
- Localized Tight Frames on Spheres
- A Uniform Asymptotic Expansion of the Jacobi Polynomials with Error Bounds
- Pointwise fourier inversion and related eigenfunction expansions
- Sets of divergence for the localization problem for Fourier integrals
- THE GIBBS PHENOMENON, THE PINSKY PHENOMENON, AND VARIANTS FOR EIGENFUNCTION EXPANSIONS
- Sommes De Cesaro Et Multiplicateurs Des Developpements en Harmoniques Spheriques
- Limitierungsverfahren von Reihen mehrdimensionaler Kugelfunktionen und deren Saturationsverhalten
- Eigenfunction expansions and the Pinsky phenomenon on compact manifolds