Lamberto Cesari
Lamberto Cesari ( born September 23, 1910 in Bologna, † 12 March 1990 in Ann Arbor ) was an Italian- American mathematician, who dealt with Analysis and especially differential equations, functional analysis and calculus of variations.
Life and work
Cesari studied and he Scuola Normale Superiore in Pisa with the Laurea degree in 1933 Leonida Tonelli ( Sulle condizioni sufficienti per le successioni di Fourier ). After that, he was at the Ludwig- Maximilians- University of Munich at Constantin Caratheodory, 1935 for another year in Pisa and then in Rome at the Istituto Nazionale per le Applicazioni del Calcolo at Mauro Picone. In 1938 he became assistant professor ( professore incaricato ) at the University of Pisa.
From 1942 he was professor at the University of Bologna, where, after a customary in Italy Competition 1947 he received the chair of mathematical physics. In 1948 he went to the USA as a visiting professor at the Institute for Advanced Study. He was at Purdue University, in 1949 at the University of California, Berkeley, and 1950 at the University of Wisconsin- Madison. In 1960 he became professor of mathematical analysis at the University of Michigan in Ann Arbor was. From 1976 he was Distinguished Professor RL Wilder. In 1980, he went there to retire.
It dealt among other things with content area and minimal surfaces (eg Plateau problem), optimal control theory, periodic solutions of nonlinear ordinary differential equations using the methods of nonlinear functional analysis and measure theory with. In 1936, he generalized function of bounded variation on several dimensions. With the later BVC functions called Lebesgue - integrable functions of bounded variation he showed in 1937, among other things, that the generalized surface integral of ( which may have f discontinuities ) if finite, if a BVC function (which is a set of Tonelli for the case of continuous generalized functions ), and he proved that the double Fourier series of a function BVC almost everywhere converges to f. Also in 1937, he published an influential work on iterative solution methods of differential equation systems. In the early 1940s he gave necessary and sufficient conditions for the finiteness of the Lebesgue surface area of a given surface by a parametric equation.
He has published over 250 scientific papers and three monographs.
At the University of Michigan, a chair is named after him. His doctoral Jack K. Hale heard.
Cesari was Invited Speaker at the International Congress of Mathematicians in 1960 in Cambridge (Applications of area theory in analysis, with Tibor Rado ) and 1954 at the in Amsterdam ( retraction, Homotopy, integral).
He was a member of the Accademia dei Lincei and the academies of science in Bologna, Modena and Milan. In 1976 he became an honorary doctorate from the University of Perugia.
In 1976 he became a U.S. citizen. He was married to the German Isotta Hornauer, he knew from his student days in Munich. She worked as a translator and published mathematical works with Lamberto Cesari on history of mathematics (Mathematics in the Mediterranean: Today's view, University of Perugia in 1990, on the occasion of an honorary doctorate in Perugia for Cesari ).
Writings
- Surface Area, Annals of Mathematical Studies 35, Princeton University Press 1956
- Asymptotic behavior and stability problems for ordinary differential equations, Results in Mathematics and its applications, Springer Verlag, 1959, 1962, 1971
- Optimization Theory and Applications. Problems with ordinary differential equations, Applications of Mathematics 17, Springer Verlag 1983
- Sulle funzioni a variazione limitata, Annali della Scuola Normale Superiore, Series II, Volume 5 1936, pp. 299-313
- Sulla risoluzione dei sistemi di equazioni linearized by successive approssimazioni, Atti Accad. Naz. Lincei, Phys. -Math. Class, 1937, pp. 422-428