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

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

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

References

  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. 1 2 Zalcman, Lawrence (1974). "Real Proofs of Complex Theorems (And Vice Versa)". The American Mathematical Monthly. Taylor & Francis. 81 (2): 115–137. doi:10.1080/00029890.1974.11993518. ISSN 0002-9890.
  4. ↑ Zalcman, Lawrence (1980). "Offbeat Integral Geometry". The American Mathematical Monthly. Taylor & Francis. 87 (3): 161–175. doi:10.1080/00029890.1980.11994985. ISSN 0002-9890.
  5. ↑ Lawrence Zalcman (2016). "A Tale of Three Theorems". The American Mathematical Monthly. Taylor & Francis. 123 (7): 643–656. doi:10.4169/amer.math.monthly.123.7.643. ISSN 0002-9890. S2CID 125789757.
  6. 1 2 3 4 Mark Agranovsky; Walter Bergweiler (October 28, 2022). "Lawrence Allen Zalcman 1943–2022". Computational Methods and Function Theory. Springer Nature. 23: 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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