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Lawrence Zalcman

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Lawrence Allen Zalcman
Born(1943-06-09)June 9, 1943
Kansas City, Missouri, US
DiedMay 31, 2022(2022-05-31) (aged 78)
Jerusalem, Israel
NationalityAmerican-Israeli
Alma materDartmouth College, Massachusetts Institute of Technology
Known forZalcman's Lemma, Zalcman domains, Zalcman functions, Pizzetti-Zalcman formula
AwardsChauvenet Prize (1976), Lester R. Ford Award (1975, 1981), Paul R. Halmos – Lester R. Ford Award (2017)
Scientific career
FieldsMathematics
InstitutionsBar-Ilan University, University of Maryland, Stanford University
Thesis (1968)
Doctoral advisorKenneth Myron Hoffman

Lawrence Allen Zalcman (June 9, 1943 – May 31, 2022) was a professor (and later a professor emeritus) of Mathematics at Bar-Ilan University in Israel. His research primarily concerned Complex analysis, potential theory, and the relations of these ideas to approximation theory, harmonic analysis, integral geometry and partial differential equations.[1][2] On top of his scientific achievements, Zalcman received numerous awards for mathematical exposition, including the Chauvenet Prize[3] in 1976, the Lester R. Ford Award in 1975[3] and 1981,[4] and the Paul R. Halmos – Lester R. Ford Award in 2017.[5] In addition to Bar-Ilan University, Zalcman taught at the University of Maryland and Stanford University in the United States.[6]

Life and career

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Zalcman was born in Kansas City, Missouri on June 9, 1943.[6] In 1961, he graduated from Southwest High School in Kansas City, Missouri before continuing his education at Dartmouth College, where he would graduate in 1964.[6] Zalcman went on to receive his Ph.D. from the Massachusetts Institute of Technology in 1968 under the supervision of Kenneth Myron Hoffman.[7] In 2012, Zalcman became a fellow of the American Mathematical Society.[8]

In the theory of normal families, Zalcman's Lemma, which he used as part of his treatment of Bloch's principle, is named after him.[9] Other eponymous honors are Zalcman domains, which play a role in the classification of Riemann surfaces, and Zalcman functions in complex dynamics. In the theory of partial differential equations, the Pizzetti-Zalcman formula is partially named after him.[10]

Lawrence Zalcman died in Jerusalem on May 31, 2022.[6]

Selected publications

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  • Analytic capacity and rational approximation. Springer Verlag. 1968. ISBN 9783540358251.
  • with Peter Lax: Complex proofs of real theorems, American Mathematical Society 2012[11]

References

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  1. ^ "Prof. Lawrence Zalcman". Bar-Ilan University – Department of Mathematics. Archived from the original on December 12, 2022. Retrieved December 13, 2022.
  2. ^ "Lawrence Zalcman 1943—2022". Journal d'Analyse Mathématique. 2022. doi:10.1007/s11854-022-0229-0.
  3. ^ a b Zalcman, Lawrence (1974). "Real Proofs of Complex Theorems (And Vice Versa)". The American Mathematical Monthly. 81 (2). Taylor & Francis: 115–137. doi:10.1080/00029890.1974.11993518. ISSN 0002-9890.
  4. ^ Zalcman, Lawrence (1980). "Offbeat Integral Geometry". The American Mathematical Monthly. 87 (3). Taylor & Francis: 161–175. doi:10.1080/00029890.1980.11994985. ISSN 0002-9890.
  5. ^ Lawrence Zalcman (2016). "A Tale of Three Theorems". The American Mathematical Monthly. 123 (7). Taylor & Francis: 643–656. doi:10.4169/amer.math.monthly.123.7.643. ISSN 0002-9890. S2CID 125789757.
  6. ^ a b c d Mark Agranovsky; Walter Bergweiler (October 28, 2022). "Lawrence Allen Zalcman 1943–2022". Computational Methods and Function Theory. 23. Springer Nature: 3–9. doi:10.1007/s40315-022-00470-4. S2CID 253217136. Retrieved December 13, 2022.
  7. ^ Lawrence Allen Zalcman at the Mathematics Genealogy Project
  8. ^ List of Fellows of the American Mathematical Society
  9. ^ "Zalcman's Lemma". MathWorld.
  10. ^ Carroll, R. W.; Showalter, R. E. (1976). Singular and degenerate Cauchy problems. Academic Press. p. 96. ISBN 9780080956367.
  11. ^ Hendel, Russell Jay (May 7, 2012). "Review of Complex proofs of real theorems by Peter Lax and Lawrence Zalcman". MAA Reviews, Mathematical Association of America.
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