Autour du centenaire Lebesgue / Gustave Choquet, Thierry De Pauw, Pierre de la Harpe,... [et al.]

Publisher's description: This volume was written on the occasion of the centennial of Lebesgue's publication in 1901 of his famous Note introducing his integral. It results from a day of celebration at the École normale supérieure de Lyon. It provides various viewpoints on Lebesgue's heritage. Gustave Choquet gives a vivid testimony about mathematics and mathematicians of Lebesgue's era. Contributions by Pierre de la Harpe and by Bruno Sévennec on finitely additive measures analyse their paradoxes and their relationship with amenability or equirepartition. Hervé Pajot relates the recent and considerable progress made in understanding the notion of rectifiability, in relation with the analytic capacity or with the Cauchy operator. Thierry de Pauw, starting from Henstock and Kurzweil's integral, studies possibilities of generalizing the divergence formula. A preface by Jean-Pierre Kahane synthesizes these viewpoints and highlights Lebesgue's influence in the course of the twentieth century.

Notes bibliogr.