Leonida Tonelli

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Leonida Tonelli

Leonida Tonelli (born April 19, 1885 in Gallipoli ( Lecce ), † March 12, 1946 in Pisa ) was an Italian mathematician , a student of Cesare Arzelà .

life and work

Tonelli studied in Bologna , where he received his diploma (Laurea) in 1907. In 1913 he was appointed professor at the University of Cagliari . Via the stations of Parma (appointment 1914) and Bologna (appointment 1922) he finally came to Pisa in 1930 , where he stayed until the end of his life (apart from a period from 1939 to 1942 at the University of Rome) and built up a leading school of analysts in Italy .

Tonelli's main field of work was analysis ; In particular, he dealt with the calculus of variations as one of his thematic focuses, but also with measurement and integration theory , trigonometric series and Fourier analysis . The Fubini-Tonelli theorem from integration theory is named after him.

He was a member of the Accademia dei Lincei and the Pontifical Academy of Sciences . In 1928 he gave a plenary lecture at the International Congress of Mathematicians in Bologna with the title Il contributo italiano alla teoria delle funzioni di variabili reali (German: The Italian contribution to the theory of the functions of real variables).

Works and writings

  • Fondamenti di Calcolo delle Variazioni. Zanichelli, Bologna, Vol. 1: 1922, Vol. 2: 1923
  • Trigonometriche series. Zanichelli, Bologna 1928

Bibliographical

  • Silvio Cinquini: Leonida Tonelli , Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, (2nd episode), Vol. 15, 1946 (1950), pp. 1-37

literature

  • Jürgen Elstrodt: Measure and integration theory . 4th edition, Springer, Berlin 2005, ISBN 3-540-21390-2 (short biography).

Web links