250px, Mischa Cotlar in 1964 Mischa Cotlar (1913,

Sarny Sarny ( uk, Сáрни), translated as '' Does'', is a small city in Rivne Oblast (province) of western Ukraine. It is the administrative center of Sarny Raion (district), and is a major railway node on the Sluch River. Population: History His ...

Russian Empire The Russian Empire was an empire and the final period of the Russian monarchy from 1721 to 1917, ruling across large parts of Eurasia. It succeeded the Tsardom of Russia following the Treaty of Nystad, which ended the Great Northern War. ...

– January 16, 2007,

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Argentina Argentina (), officially the Argentine Republic ( es, link=no, República Argentina), is a country in the southern half of South America. Argentina covers an area of , making it the second-largest country in South America after Brazil, th ...

) was a

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...

who started his scientific career in

Uruguay Uruguay (; ), officially the Oriental Republic of Uruguay ( es, República Oriental del Uruguay), is a country in South America. It shares borders with Argentina to its west and southwest and Brazil to its north and northeast; while bordering ...

and worked most of his life on it in

and

Venezuela Venezuela (; ), officially the Bolivarian Republic of Venezuela ( es, link=no, República Bolivariana de Venezuela), is a country on the northern coast of South America, consisting of a continental landmass and many islands and islets in th ...

. His contributions to mathematics are in the fields of harmonic analysis, ergodic theory and

spectral theory In mathematics, spectral theory is an inclusive term for theories extending the eigenvector and eigenvalue theory of a single square matrix to a much broader theory of the structure of operators in a variety of mathematical spaces. It is a result ...

. He introduced the Cotlar–Stein lemma. He was the author or co-author of over 80 articles in refereed journals. According to

Alberto Calderón Alberto Pedro Calderón (September 14, 1920 – April 16, 1998) was an Argentinian mathematician. His name is associated with the University of Buenos Aires, but first and foremost with the University of Chicago, where Calderón and his mentor, t ...

, Cotlar showed in 1955 "that theorems on singular integrals can be generalized and put in the framework of ergodic theory." According to Krause, Lacey, and Wierdl, Karl E. Petersen in 1983 published an "especially direct proof" of Cotlar's 1955 theorem. In January 1994 in Caracas, an international conference was held in his honor.

Selected publications

* Aritmética abstracta, Boletín de la Facultad de Ingeniería, Montevideo, Uruguay, 1937 * Teoría de anágenos, An. Soc. Ci. Argentina, 127, 1939 * Familias normales de funciones no analíticas, An. Soc. Ci. Argentina 129, 1940 * Un método para obtener congruencias de números de Bernoulli, Math. Notae 7, 1947 * On The Foundation Of The Ergodic Theory, Actas Symposia, UNESCO, 1951 * * with R. Ricabarra: * A combinatorial inequality and its application to L² spaces, Math. Cuyana, 1, 1955 * * with R. Panzone: * Convolution Operators and Factorization, McGill Analysis Seminar, McGill University, Montreal, 1972 * * * with C. Sadosky: * with Pedro Alegría:

References

External links

* * *
Analysis Center, Faculty of Sciences, Central University of Venezuela

Mischa Cotlar: A Biography
* (section on Mischa Cotlar from 51:04 to 57:57) Argentine mathematicians Argentine Jews 2007 deaths 1913 births Emigrants from the Soviet Union Immigrants to Uruguay {{mathematician-stub