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,
Buenos Aires
Buenos Aires ( or ; ), officially the Autonomous City of Buenos Aires ( es, link=no, Ciudad Autónoma de Buenos Aires), is the capital and primate city of Argentina. The city is located on the western shore of the Río de la Plata, on South ...
,
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
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 ...
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 L
2 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 VenezuelaMischa 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