The uncertainty principle

1983/01/01 by Charles Fefferman · 6 citations
Mathematics · Medicine · #Holomorphic and Operator Theory #Mathematical Analysis and Transform Methods #Spectral Theory in Mathematical Physics #Mathematics #Applied mathematics #Calculus (dental) #Medicine

paper · doi:10.1090/s0273-0979-1983-15154-6

openalex publication_date 1983/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/07

Abstract

On considere l'existence et la regularite des solutions d'equations aux derivees partielles, la construction de solutions fondamentales explicites et les valeurs propres d'operateurs de Schrodinger

Citations

• Ramifications, old and new, of the eigenvalue problem
• The spectral function of an elliptic operator
• On the existence of a complete Kähler metric on non‐compact complex manifolds and the regularity of fefferman's equation
• The Bergman kernel and biholomorphic mappings of pseudoconvex domains
• Zufallige Bewegungen (Zur Theorie der Brownschen Bewegung)

Cited by

• From a particle in a box to the uncertainty relation in a quantum dot and to reflecting walls for relativistic fermions
• Decoherence and Wave Function Collapse
• Sharp uncertainty principles on Riemannian manifolds: the influence of curvature
• Analytic criteria in the qualitative spectral analysis of the Schroedinger operator
• On Some Sharp Spectral Inequalities for Schrödinger Operators on Semiaxis
• Charles Fefferman [wikipedia]