# Alberto Calderón

**Alberto Pedro Calderón** (born September 14, 1920 in Mendoza in Argentina , † April 16, 1998 in Chicago ) was an Argentine mathematician who dealt with analysis. He is known for his theory of singular integral equations.

Calderón went to school in Switzerland and Mendoza, studied electrical engineering in Buenos Aires (graduated in 1947) and then mathematics. In 1948 Antoni Zygmund , a professor in Chicago and a leading expert in harmonic analysis, visited Buenos Aires and became aware of Calderón. In 1950 Calderón received his PhD with Zygmund in Chicago (where he was on a Rockefeller Fellowship) with a thesis on harmonic analysis and ergodic theory. He then was Associate Professor at Ohio State University from 1950 to 1953 and at the Institute for Advanced Study from 1953 to 1955 . After a time from 1955 to 1959 as an associate professor at the Massachusetts Institute of Technology (MIT), he became a professor at the University of Chicago in 1959, where he remained until his retirement in 1985, from a time as a professor at MIT (1972-1975) and guest stays in Argentina apart. 1970 to 1972 he was chairman of the math faculty in Chicago.

Calderón worked on singular integral operators. This is also called the Calderón-Zygmund theory, or rather speaks of the Calderón-Zygmund school of harmonic analysis. Important elements of this theory are the Calderón-Zygmund lemma and Calderón-Zygmund operators . He also worked on partial differential equations and their connections to harmonic analysis (Fourier analysis). One of his most important works (quoted at the awarding of the Steele Prize) concerned the unambiguousness of the solution to the Cauchy problem in 1958. He himself did not write any textbooks, not even about his main field of work (other members of Zygmund's Chicago School such as Elias Stein ) .

In 1978 he received the Bôcher Memorial Prize , in 1989 the Wolf Prize and the Leroy P. Steele Prize and in 1991 the National Medal of Science . In 1989 he received the Argentine Consagración Nacional Prize. He was a member of the National Academy of Sciences (since 1968) and the American Academy of Arts and Sciences (since 1958). He was also a member of the French, Argentine, and Latin American (based in Venezuela) Academies of Science. Since 1975 he has been an honorary professor in Buenos Aires. In 1978 he gave a plenary lecture at the ICM in Helsinki (Commutators, Singular Integrals on Lipschitz Curves and Applications) and in 1966 he was invited speaker at the ICM in Moscow (Algebras of singular integral operators).

He was married twice and had two children from his first marriage. His first wife, to whom he had been married since 1950, died in 1985, and Calderón married the mathematician Alexandra Bellow in 1989 .

## literature

- Cora Sadosky, Alberto P. Calderón, Carlos Kenig , Michael Christ:
*Harmonic Analysis and Partial Differential Equations: Essays in Honor of Alberto Calderón.*University of Chicago Press, 1999, ISBN 0-226-10456-7 (with biography) - AP Calderón, A. Zygmund:
*On the existence of certain singular integrals.*Acta Math., Vol. 88, 1952, pp. 85-139. - Alexandra Bellow, Carlos Kenig, Paul Malliavin (Editors):
*Selected papers of Alberto Calderon*, American Mathematical Society 2008 - Stein
*Singular integrals - the roles of Calderon and Zygmund*, Notices AMS 1998, PDF file

## Web links

- John J. O'Connor, Edmund F. Robertson :
*Alberto Calderón.*In:*MacTutor History of Mathematics archive .* - Calderón at the Mathematics Genealogy Project
- Obituary: Alberto Calderon - Chicago Chronicle Obituary, April 30, 1998 (English)

## Individual evidence

- ↑ Calderon, Zygmund: On the existence of singular integrals, Acta Mathematica, Vol. 88, 1952, pp. 85-139

personal data | |
---|---|

SURNAME | Calderón, Alberto |

ALTERNATIVE NAMES | Calderón, Alberto Pedro (full name) |

BRIEF DESCRIPTION | Argentine mathematician |

DATE OF BIRTH | September 14, 1920 |

PLACE OF BIRTH | Mendoza , Argentina |

DATE OF DEATH | April 16, 1998 |

Place of death | Chicago |