Quantitative stability for the Heisenberg-Pauli-Weyl inequality

DOI10.1016/j.na.2020.112147zbMath1450.42014arXiv2007.07111OpenAlexW3087333372MaRDI QIDQ2208236

Raghavendra Venkatraman, Sean McCurdy

Publication date: 23 October 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.07111

zbMATH Keywords

Heisenberg deficitsharpened Heisenberg-Pauli-Weyl inequality

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Harmonic analysis and PDEs (42B37) Uncertainty relations, also entropic (81S07)

Related Items

Uncertainty relations for multiple operators without covariances, Caffarelli-Kohn-Nirenberg identities, inequalities and their stabilities, A short proof of quantitative stability for the Heisenberg-Pauli-Weyl inequality

Cites Work

• A survey of uncertainty principles and some signal processing applications
• Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
• The concentration-compactness principle in the calculus of variations. The limit case. I
• Functional analysis, Sobolev spaces and partial differential equations
• Inequalities in Fourier analysis
• The uncertainty principle: A mathematical survey
• A note on strong-form stability for the Sobolev inequality
• Functional Inequalities and Dynamics
• Harmonic Analysis in Phase Space. (AM-122)
• Note on N‐dimensional hermite polynomials
• Unnamed Item
• Unnamed Item