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 in 1907 ( Laurea ). In 1913 he was appointed at the University of Cagliari professor. About the stations Parma ( Appeals 1914) and Bologna ( Appeals 1922) he finally came in 1930 to Pisa, where he remained until his death (apart from the University of Rome from a period from 1939 to 1942 ) built and a leading Italian school of analysts.

Tonelli's main area of ​​work was the analysis; in particular, it dealt with the calculus of variations as one of its thematic priorities, but also with measure and integration theory, trigonometric series and Fourier Analysis. According to him, the Fubini - Tonelli is named from the integration theory.

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 realized ( German: the Italian contribution to the theory of functions of real variables).

Works and writings

  • Fondamenti di Calcolo delle Variazioni. Zanichelli, Bologna, vol 1: 1922, Volume 2: 1923
  • Series trigonometriche. Zanichelli, Bologna 1928

Bibliographisches

  • Silvio Cinquini: Leonida Tonelli, Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, ( 2nd episode ), vol 15, 1946 (1950 ), pp. 1-37
Gallipoli, Apulia Italy Mathematical analysis Fubini's theorem Integrated Authority File
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