### Biography

Alberto Pedro Calderón Cores, US / Argentine mathematician (Mendoza 14 September 1920 – Chicago 16 April 1998)

Authored about 80 papers

With Antoni Zygmund formulated the singular integrals and invented techniques that became standard tools in harmonic analysis

Created pseudodifferential calculus

Introduced Lipschitz spaces and parabolic Hp spaces

Introduced** **the inverse conductivity problem

With Aronszajn & Smith introduced Bessel potential operators

First obtained general theorems of unicity for equations systems in partial derivatives

With C.P. Calderón. A representation formula and its applications to singular integrals

### HONORS

Wolf Prize in Mathematics (1989)

National Medal of Science, United States (1992)

Invited Lecturer, International Congress of Mathematicians (1950, 1966 & 1978)

### EPONYMY

Calderón-Zygmund singular integrals

Calderón-Zygmund decomposition

Calderón-Zygmund operators

Calderón-Zygmund kernel

Calderón-Zygmund lemma

Calderón-Zygmund inequalities

Arens-Calderón lemma

Shilov-Arens-Calderón theorem

Calderón-Toeplitz operator

Calderón couples

Calderón condition

Calderón maximal operator

Calderón product

Calderón projector

Calderón reproducing formula for characterizing wavelets

Calderón extension theorem

Calderón-Vaillancourt theorem

Benedek-Calderón-Panzone principle

Calderón unicity theorem for Cauchy problem (1958)

Calderón-Hardy spaces