Concentration estimates for band-limited spherical harmonics expansions via the large sieve principle

DOI10.1007/s00041-020-09744-8zbMath1442.42067arXiv1909.01670OpenAlexW3024295058MaRDI QIDQ2187038

Tomasz Hrycak, M. Speckbacher

Publication date: 10 June 2020

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.01670

zbMATH Keywords

signal recoveryspherical harmonicsLegendre polynomialslarge sieve inequalitiesconcentration estimates

Mathematics Subject Classification ID

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) Applications of sieve methods (11N36) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Banach spaces of continuous, differentiable or analytic functions (46E15) Spherical harmonics (33C55)

Related Items (3)

Planar sampling sets for the short-time Fourier transform ⋮ Concentration estimates for finite expansions of spherical harmonics on two-point homogeneous spaces via the large sieve principle ⋮ Spatio-spectral limiting on discrete tori: adjacency invariant spaces

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Letter to the editor: On the numerical evaluation of bandpass prolates
• Duration and bandwidth limiting. Prolate functions, sampling, and applications.
• Band-limited functions on a bounded spherical domain: The Slepian problem on the sphere
• Codes in spherical caps
• Spherical wavelet transform and its discretization
• The Beurling-Selberg extremal functions for a ball in Euclidean space
• Donoho-Logan large sieve principles for modulation and polyanalytic Fock spaces
• Measures of localization and quantitative Nyquist densities
• Nonstationary wavelets on the \(m\)-sphere for scattered data
• On accumulated spectrograms
• Uncertainty Principles and Signal Recovery
• Spatiospectral Concentration on a Sphere
• Time-frequency localisation operators-a geometric phase space approach: II. The use of dilations
• Some extremal functions in Fourier analysis
• Time-frequency localization operators: a geometric phase space approach
• Signal Recovery and the Large Sieve
• The analytic principle of the large sieve
• Some trigonometric extremal functions and the Erdos-Turan type inequalities
• MSE Estimates for Multitaper Spectral Estimation and Off-Grid Compressive Sensing
• A general approach to regularizing inverse problems with regional data using Slepian wavelets
• 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

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