Lawrence Zalcman

from Wikipedia, the free encyclopedia

Lawrence Allen Zalcman (born June 9, 1943 in Kansas City , Missouri ) is an American mathematician who deals with complex analysis.

Zalcman studied at Dartmouth College (including at AS Besicovitch ) and received his doctorate in 1968 from the Massachusetts Institute of Technology with Kenneth Hoffman ( bounded analytic functions on domains of infinite connectivity ). He taught at Stanford University and was Assistant Professor since 1972 and Professor at the University of Maryland in College Park since 1974 . Since the 1970s he has been a frequent visiting scholar and visiting professor in Israel , for example at the Technion , the Weizmann Institute , the Bar-Ilan University and the Hebrew University .

In 1981 and 1975 he received the Lester Randolph Ford Award , and for the work that received the Lester Randolph Ford Award in 1975 he was also awarded the Chauvenet Prize in 1976 .

A lemma in the theory of normal families is named after him (Zalcman's Lemma), which he proved in the context of his treatment of the principle by André Bloch . He is also the namesake of the Zalcman domains, which play a role in the classification of Riemann surfaces, and the Zalcman functions in complex dynamics. In the theory of partial differential equations, the Pizzetti-Zalcman formula is named after him.

From 1976 to 1982 he was co-editor of the Proceedings of the American Mathematical Society ; since 1987 he has been editor of the Journal d'Analyse Mathematique .

In 2012 he was made a Fellow of the American Mathematical Society .

Fonts

  • with Peter Lax Complex proofs of real theorems , American Mathematical Society 2012
  • Analytic capacity and rational approximation , Springer Verlag 1968

literature

  • Mark Agranovsky, Lavi Karp, David Shoikhet, Complex analysis and dynamical systems II. Conference in Honor of Prof. Lawrence Zalcman's 60th Birthday (June 2003 Nahariya, Israel), Contemporary Mathematics, Volume 382 (Israel Mathematical Conference Proceedings), 2003

Individual evidence

  1. ^ Complex Analysis And Dynamical Systems II: A Conference In Honor Of Professor Lawrence Zalcman's Sixtieth Birthday
  2. ^ Mathematics Genealogy Project
  3. ↑ Brief biography
  4. ↑ Lecture Notes in Mathematics (PDF; 156 kB)
  5. ↑ 1981 for Offbeat integral geometry , Amer. Math. Monthly, Vol. 87, 1980, pp. 161-175, 1975 for Real proofs of complex theorems (and vice versa) , Amer. Math. Monthly, Vol. 81, 1974, pp. 115-137
  6. ^ Zalcman's Lemma at Mathworld
  7. ↑ Bloch's heuristic principle says that a family of holomorphic functions with a property P is likely to be normal if there is no non-constant whole function with this property P. Examples are Picard's Theorem and Montel's Theorem .
  8. ^ List of Fellows of the American Mathematical Society
personal data
SURNAME Zalcman, Lawrence
ALTERNATIVE NAMES Zalcman, Lawrence Allen
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH June 9, 1943
PLACE OF BIRTH Kansas City , Kansas