Concentration estimates for finite expansions of spherical harmonics on two-point homogeneous spaces via the large sieve principle
DOI10.1007/s43670-021-00008-0zbMath1487.43009arXiv2004.02474OpenAlexW3164627143MaRDI QIDQ2059804
M. Speckbacher, Philippe Jaming
Publication date: 14 December 2021
Published in: Sampling Theory, Signal Processing, and Data Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.02474
Jacobi polynomialslarge sieve inequalitiestwo-point homogeneous spacesconcentration estimateseigenfunctions of Laplace-Beltrami operator
Homogeneous spaces (22F30) Harmonic analysis on homogeneous spaces (43A85) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Spherical harmonics (33C55) Harmonic analysis and spherical functions (43A90)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Band-limited functions on a bounded spherical domain: The Slepian problem on the sphere
- Spherical wavelet transform and its discretization
- Donoho-Logan large sieve principles for modulation and polyanalytic Fock spaces
- Concentration estimates for band-limited spherical harmonics expansions via the large sieve principle
- The Radon transform on Euclidean spaces, compact two-point homogeneous spaces and Grassmann manifolds
- Nonstationary wavelets on the \(m\)-sphere for scattered data
- Two-point homogeneous spaces
- Uncertainty Principles and Signal Recovery
- Spatiospectral Concentration on a Sphere
- Signal Recovery and the Large Sieve
- The analytic principle of the large sieve
- The Addition Formula for Jacobi Polynomials and Spherical Harmonics
- New bounds for the extreme zeros of Jacobi polynomials
- Carleson measures and Logvinenko–Sereda sets on compact manifolds
- 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