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

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作者
Rüdiger Achilles
Andrea Bonfiglioli
机构
[1] Università di Bologna,Dipartimento di Matematica
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Transformation Group; Fundamental Theorem; Formal Power Series; Bernoulli Number; Noncommutative Algebra;
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摘要
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.
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页码:295 / 358
页数:63
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