朱利奧·阿斯科利(義大利語:Giulio Ascoli,1843年1月20日—1896年7月12日)是一名義大利猶太人[1]數學家。
Quick Facts 朱利奧·阿斯科利Giulio Ascoli, 出生 ...
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阿斯科利是比薩高等師範學校的學生,於1868年畢業。1872年,他成為米蘭理工大學的代數與微積分教授。1879年起,他在Reale Istituto Tecnico Superiore擔任數學教授。他也是隆巴多研究所的通訊成員之一。
阿斯科利對實變函數的理論和傅立葉級數做出了貢獻,例如他在1884年介紹等度連續,這個主題被認為是實變函數理論中的基本概念之一。[2]1889年,義大利數學家切薩雷·阿澤拉將阿斯科利定理概括為阿澤拉-阿斯科利定理,這是一個實用的函數順序緊湊性準則。[3]
- Guerraggio, Angelo; Nastasi, Pietro, Italian mathematics between the two world wars, Science Networks. Historical Studies 29, Basel: Birkhäuser Verlag: x+299, 2005 [2022-03-18], ISBN 3-7643-6555-2, MR 2188015, Zbl 1084.01010, doi:10.1007/3-7643-7512-4, (原始內容存檔於2022-05-02).
- Tricomi, G. F. Giulio Ascoli. Matematici italiani del primo secolo dello stato unitario (Italian mathematicians of the first century of the unitary state). Memorie dell'Accademia delle Scienze di Torino. Classe di Scienze fisiche matematiche e naturali, series IV I. 1962: 120 [2010-07-31]. Zbl 0132.24405. (原始內容存檔於2012-07-28).(in Italian). Available from the website of the.
- Dshalalow, Jewgeni H., Real analysis: an introduction to the theory of real functions and integration, Studies in Advanced Mathematics, Boca Raton, Florida: CRC Press: xiv+567, 2001 [2022-03-18], ISBN 1-58488-073-2, MR 1788725, Zbl 0978.28001, (原始內容存檔於2022-03-18).
- Letta, Giorgio, Le condizioni di Riemann per l'integrabilità e il loro influsso sulla nascita del concetto di misura (PDF), Rendiconti della Accademia Nazionale delle Scienze Detta dei XL, Memorie di Matematica e Applicazioni, 1994, XVIII (1): 143–169 [112°], MR 1327463, Zbl 0852.28001, (原始內容 (PDF)存檔於2014-02-28) (意大利語). "Riemann's conditions for integrability and their influence on the birth of the concept of measure" (English translation of title) is an article on the history of measure theory, analyzing deeply and comprehensively every early contribution to the field, starting from Riemann's work and going to the works of Hermann Hankel, Gaston Darboux, Giulio Ascoli, Henry John Stephen Smith, Ulisse Dini, Vito Volterra, Paul David Gustav du Bois-Reymond and Carl Gustav Axel Harnack.