The early proofs of the theorem of Campbell, Baker, Hausdorff, and Dynkin

2012/04/02 by Rüdiger Achilles, Andrea Bonfiglioli · 60 citations
Mathematics · #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #Algebra over a field #Art #Calculus (dental) #Computer science #Exposition (narrative) #Geometry #Hausdorff space #Homotopy and Cohomology in Algebraic Topology #Literature #Mathematical proof #Mathematics #Pascal (unit) #Pure mathematics

paper · doi:10.1007/s00407-012-0095-8

published in Archive for History of Exact Sciences 66(3), 295-358 (Springer Science and Business Media LLC)

openalex publication_date 2012/04/02 · crossref created 2012/04/02 · crossref issued 2012/04/03 · crossref published 2012/04/03 · crossref published-online 2012/04/03 · crossref published-print 2012/05/01 · crossref deposited 2024/04/22 · openalex created_date 2025/10/10 · crossref indexed 2026/07/09 · openalex updated_date 2026/07/23

Citations

• Sufficient conditions for the convergence of the Magnus expansion
• A new proof of the Baker-Campbell-Hausdorff formula
• The Magnus expansion and some of its applications
• Balls and metrics defined by vector fields I: Basic properties
• Poincaré and Lie groups
• Note on the Global Validity of the Baker-Hausdorff and Magnus Theorems
• Emergence of the Theory of Lie Groups

Cited by

• Explicit Baker–Campbell–Hausdorff Expansions
• Baker–Campbell–Hausdorff formula [wikipedia]