The aim of this paper is to provide a comprehensive exposition of the early contributions to the so-called Campbell, Baker, Hausdorff, Dynkin Theorem during the years 1890–1950. Related works by Schur, Poincaré, Pascal, Campbell, Baker, Hausdorff, and Dynkin will be investigated and compared. For a full recovery of the original sources, many mathematical details will also be furnished. In particular, we rediscover and comment on a series of five notable papers by Pascal (Lomb Ist Rend, 1901–1902), which nowadays are almost forgotten.

The early proofs of the theorem of Campbell, Baker, Hausdorff and Dynkin / R. Achilles; A. Bonfiglioli. - In: ARCHIVE FOR HISTORY OF EXACT SCIENCES. - ISSN 0003-9519. - STAMPA. - 66:3(2012), pp. 295-358. [10.1007/s00407-012-0095-8]

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

ACHILLES, HANS JOACHIM RUDIGER;BONFIGLIOLI, ANDREA
2012

Abstract

The aim of this paper is to provide a comprehensive exposition of the early contributions to the so-called Campbell, Baker, Hausdorff, Dynkin Theorem during the years 1890–1950. Related works by Schur, Poincaré, Pascal, Campbell, Baker, Hausdorff, and Dynkin will be investigated and compared. For a full recovery of the original sources, many mathematical details will also be furnished. In particular, we rediscover and comment on a series of five notable papers by Pascal (Lomb Ist Rend, 1901–1902), which nowadays are almost forgotten.
2012
The early proofs of the theorem of Campbell, Baker, Hausdorff and Dynkin / R. Achilles; A. Bonfiglioli. - In: ARCHIVE FOR HISTORY OF EXACT SCIENCES. - ISSN 0003-9519. - STAMPA. - 66:3(2012), pp. 295-358. [10.1007/s00407-012-0095-8]
R. Achilles; A. Bonfiglioli
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/116002
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