Dimitrie Pompeiu

Dimitrie Pompeiu
Born	(1873-10-22)22 October 1873 Broscăuți, Romanian Principalities
Died	8 October 1954(1954-10-08) (aged 81) Bucharest, Romanian People's Republic
Nationality (legal)	Romanian
Alma mater	University of Bucharest
Known for	Cauchy–Pompeiu formula Pompeiu problem Pompeiu–Hausdorff metric Cauchy–Pompeiu formula Pompeiu's theorem
Scientific career
Fields	Mathematician
Institutions	University of Iași University of Bucharest
Doctoral advisor	Henri Poincaré
Doctoral students	Grigore Moisil
Notes
President of the Assembly of Deputies
In office 20 June 1931 – 10 June 1932
Monarch	Carol II
Preceded by	Ștefan Cicio Pop
Succeeded by	Ștefan Cicio Pop

Dimitrie D. Pompeiu (Romanian: [diˈmitri.e pomˈpeju]; 4 October [O.S. 22 September] 1873 – 8 October 1954) was a renowned Romanian mathematician.

Biography

He was born in 1873 in Broscăuți, Botoșani County. After completing high school in nearby Dorohoi, he went to study at the Normal Teachers School in Bucharest, obtaining his diploma in 1893. For the next five years he taught at schools in Galați and Ploiești. In 1898 he went to France, where he studied mathematics at the University of Paris (the Sorbonne). He obtained his Ph.D. degree in mathematics in 1905, with thesis On the continuity of complex variable functions written under the direction of Henri Poincaré.

After returning to Romania, Pompeiu was named Professor of Mechanics at the University of Iași. In 1912, he assumed a chair at the University of Bucharest. In 1934, he was elected member of the Romanian Academy.

Pompeiu's contributions were mainly in the field of mathematical analysis, complex functions theory, and rational mechanics. In an article published in 1929, he posed a challenging conjecture in integral geometry, now widely known as the Pompeiu problem. Among his contributions to real analysis there is the construction, dated 1906, of non-constant, everywhere differentiable functions, with derivative vanishing on a dense set. Such derivatives are now called Pompeiu derivatives.

Selected works

• Pompeiu, Dimitrie (1905), "Sur la continuité des fonctions de variables complexes", Annales de la Faculté des Sciences de Toulouse, Série 2 (in French), 7 (3): 265–315, JFM 36.0454.04.
• Pompeiu, Dimitrie (1912), "Sur une classe de fonctions d'une variable complexe", Rendiconti del Circolo Matematico di Palermo (in French), 33 (1): 108–113, doi:10.1007/BF03015292, JFM 43.0481.01.
• Pompeiu, Dimitrie (1913), "Sur une classe de fonctions d'une variable complexe et sur certaines équations intégrales", Rendiconti del Circolo Matematico di Palermo (in French), 35 (1): 277–281, doi:10.1007/BF03015607.

See also

• Cauchy–Pompeiu formula
• Pompeiu–Hausdorff metric
• Pompeiu's theorem
• Pompeiu derivative
• Wirtinger derivatives

Biographical references

• "Short biography of Dimitrie Pompeiu". National Institute for R&D in Informatics. Archived from the original on 2006-03-03.
• Bârsan, T.; Tiba, D. (2006), Ceragioli, F.; Dontchev, A.; Futura, H.; Marti, K. (eds.), "One Hundred Years Since the Introduction of the Set Distance by Dimitrie Pompeiu", System Modeling and Optimization, vol. 199, Boston: Kluwer Academic Publishers, pp. 35–39, doi:10.1007/0-387-33006-2_4, ISBN 978-0-387-32774-7, retrieved 2020-10-10
• Short biography of Dimitrie Pompeiu, by Petru Mocanu, Babeş–Bolyai University

References

• Fichera, Gaetano (1969), "Derivata areolare e funzioni a variazione limitata", Revue Roumaine de Mathématiques Pures et Appliquées (in Italian), XIV (1): 27–37, MR 0265616, Zbl 0201.10002. ("Areolar derivative and functions of bounded variation" is an important reference paper in the theory of areolar derivatives.)
• Henrici, Peter (1993) [1986], Applied and Computational Complex Analysis Volume 3, Wiley Classics Library (Reprint ed.), New York–Chichester–Brisbane–Toronto–Singapore: John Wiley & Sons, pp. X+637, ISBN 0-471-58986-1, MR 0822470, Zbl 1107.30300.