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

Sarny Sarny (, ) is a small city in Rivne Oblast, western Ukraine. It is the administrative center of Sarny Raion within the oblast and is a major railway node on the Sluch River. Population: Etymology The city is named after the roe deer and can ...

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– January 16, 2007,

Buenos Aires Buenos Aires, controlled by the government of the Autonomous City of Buenos Aires, is the Capital city, capital and largest city of Argentina. It is located on the southwest of the Río de la Plata. Buenos Aires is classified as an Alpha− glob ...

Argentina Argentina, officially the Argentine Republic, is a country in the southern half of South America. It covers an area of , making it the List of South American countries by area, second-largest country in South America after Brazil, the fourt ...

) 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, mathematical structure, structure, space, Mathematica ...

who started his scientific career in

Uruguay Uruguay, officially the Oriental Republic of 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 the Río de la Plata to the south and the A ...

and worked most of his life on it in

and

Venezuela Venezuela, officially the Bolivarian Republic of Venezuela, is a country on the northern coast of South America, consisting of a continental landmass and many Federal Dependencies of Venezuela, islands and islets in the Caribbean Sea. It com ...

. His contributions to mathematics are in the fields of

harmonic analysis Harmonic analysis is a branch of mathematics concerned with investigating the connections between a function and its representation in frequency. The frequency representation is found by using the Fourier transform for functions on unbounded do ...

ergodic theory Ergodic theory is a branch of mathematics that studies statistical properties of deterministic dynamical systems; it is the study of ergodicity. In this context, "statistical properties" refers to properties which are expressed through the behav ...

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 operator (mathematics), operators in a variety of mathematical ...

. 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 Argentine 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, th ...

, 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 Caracas ( , ), officially Santiago de León de Caracas (CCS), is the capital and largest city of Venezuela, and the center of the Metropolitan Region of Caracas (or Greater Caracas). Caracas is located along the Guaire River in the northern p ...

, 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 Soviet emigrants Immigrants to Uruguay {{mathematician-stub