Mischa Cotlar

Mischa Cotlar in 1964

Mischa Cotlar (1913, Sarny, Russian Empire – January 16, 2007, Buenos Aires, Argentina)[1] was a mathematician who started his scientific career in Uruguay and worked most of his life on it in Argentina and Venezuela.

His contributions to mathematics are in the fields of harmonic analysis, ergodic theory and spectral theory. He introduced the Cotlar–Stein lemma. He was the author or co-author of over 80 articles in refereed journals.[2]

According to Alberto Calderón, Cotlar showed in 1955 "that theorems on singular integrals can be generalized and put in the framework of ergodic theory."[3][4] According to Krause, Lacey, and Wierdl, Karl E. Petersen in 1983 published an "especially direct proof"[5] of Cotlar's 1955 theorem.[6]

In January 1994 in Caracas, an international conference was held in his honor.[7]

  1. ^ "Falleció el notable matemático Mischa Cotlar" [The notable mathematician Mischa Cotlar died] (in Spanish). La Nación. January 17, 2007. Archived from the original on October 9, 2016.
  2. ^ Sadosky, Cora, ed. (1989). "Introduction of Professor Mischa Cotlar to the National Academy of Exact Sciences of Argentina by Alberto P. Calderón". Analysis and Partial Differential Equations: A Collection of Papers Dedicated to Mischa Cotlar. CRC Press. pp. xix–xx. ISBN 9781482276923.
  3. ^ Calderón, Alberto P. (1968). "Ergodic theory and translation-invariant operators". Proceedings of the National Academy of Sciences of the United States of America. 59 (2): 349–353. Bibcode:1968PNAS...59..349C. doi:10.1073/pnas.59.2.349. PMC 224676. PMID 16591604.
  4. ^ Cotlar, M. (1955). "A unified theory of Hilbert transforms and ergodic theorems". Rev. Mat. Cuyana. 1 (2): 105–167.
  5. ^ Krause, B.; Lacey, M.; Wierdl, M. (2016). "On convergence of modulated ergodic Hilbert transforms". arXiv:1610.04968 [math.CA].
  6. ^ Petersen, Karl (1983). "Another proof of the existence of the ergodic Hilbert transform". Proc. Amer. Math. Soc. 88 (1): 39–43. doi:10.1090/S0002-9939-1983-0691275-2. MR 0691275.
  7. ^ Marcantognini, S. A. M.; Mendoza, G. A.; Morán, M. D.; Octavio, A.; Urbina, W. O., eds. (1995). Harmonic Analysis and Operator Theory: A Conference in Honor of Mischa Cotlar, January 3-8, 1994, Caracas, Venezuela. Contemporary Mathematics, vol. 189. American Mathematical Soc. ISBN 9780821803042.