Spectrum of the finite Dunkl transform operator and Donoho–Stark uncertainty principle

DOI10.1515/apam.2011.012zbMath1241.42001OpenAlexW2329201304MaRDI QIDQ2882904

Hichem Ben Aouicha, Chirine Chettaoui

Publication date: 11 May 2012

Published in: Advances in Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/apam.2011.012

zbMATH Keywords

Dunkl transformDonoho-Stark uncertainty principleDunkl bandlimited signalsfinite Dunkl transform

Mathematics Subject Classification ID

Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (2)

Solution of the energy concentration problem and application ⋮ Uncertainty principles involvingL¹-norms for the Dunkl transform

Cites Work

• A new generalization of the PSWFs with applications to spectral approximations on quasi-uniform grids
• Spectral analysis of the finite Hankel transform and circular prolate spheroidal wave functions
• Eigenvalue distribution of time and frequency limiting
• The Dunkl transform
• Approximation of an analytic function on a finite real interval by a bandlimited function and conjectures on properties of prolate spheroidal functions
• Uncertainty Principles and Signal Recovery
• Spatiospectral Concentration on a Sphere
• A generalization of the prolate spheroidal wave functions
• Fourier and Hankel bandlimited signal recovery
• Analysis of spectral approximations using prolate spheroidal wave functions
• Integral Kernels with Reflection Group Invariance
• Uncertainty principles for the Hankel transform
• A Note on the Quantum Rule of the Harmonic Oscillator

This page was built for publication: Spectrum of the finite Dunkl transform operator and Donoho–Stark uncertainty principle