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Dimitrie Pompeiu

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Residence
  
Romania

Role
  
Mathematician

Nationality
  
Romanian

Fields
  
Mathematician


Doctoral students
  
Grigore Moisil

Doctoral advisor
  
Henri Poincare

Name
  
Dimitrie Pompeiu

Notable students
  
Grigore Moisil

Dimitrie Pompeiu 150uaicrowpcontentuploads201002DimitriePo

Born
  
4 October 1873 Broscauti, Romanian Principalities (
1873-10-04
)

Institutions
  
University of Iasi University of Bucharest

Alma mater
  
University of Bucharest

Known for
  
Cauchy–Pompeiu formula Pompeiu problem Pompeiu-Hausdorff metric Cauchy–Pompeiu formula Pompeiu's theorem

Died
  
October 8, 1954, Bucharest, Romania

Education
  
University of Bucharest, University of Paris

Similar People
  
Gheorghe Titeica, Grigore Moisil, Henri Poincare

Conferinta de deschidere a concursului de matematica dimitrie pompeiu botosani


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

Contents

Biography

After studying in Dorohoi and Bucharest, he went to France, where he studied mathematics at the University of Paris (the Sorbonne). He obtained a Ph.D. degree in mathematics in 1905 with a thesis, On the continuity of complex variable functions, written under the direction of Henri Poincaré. After returning to Romania, he was named Professor of Mechanics at the University of Iaşi. In 1912, he assumed a chair at the University of Bucharest. In 1934, he was elected member of the Romanian Academy.

His 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, D. (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, D. (1912), "Sur une classe de fonctions d'une variable complexe", Rendiconti del Circolo Matematico di Palermo (in French), 33 (1): 108–113, JFM 43.0481.01, doi:10.1007/BF03015292  .
  • Pompeiu, D. (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  .
  • References

    Dimitrie Pompeiu Wikipedia


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