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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. On top of his scientific achievements, Zalcman received numerous awards for mathematical exposition, including the Chauvenet Prize in 1976, the Lester R. Ford Award in 1975 and 1981, and the Paul R. Halmos – Lester R. Ford Award in 2017. In addition to Bar-Ilan University, Zalcman taught at the University of Maryland and Stanford University in the United States.

Life and career

Zalcman was born in Kansas City, Missouri on June 9, 1943. 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. Zalcman went on to receive his Ph.D. from the Massachusetts Institute of Technology in 1968 under the supervision of Kenneth Myron Hoffman. In 2012, Zalcman became a fellow of the American Mathematical Society.

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. 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.

Lawrence Zalcman died in Jerusalem on May 31, 2022.

Selected publications

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

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. ^ 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. ^ 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.

• 1943 births
• 2022 deaths
• Israeli mathematicians
• American mathematicians
• Fellows of the American Mathematical Society
• Academic staff of Bar-Ilan University
• Massachusetts Institute of Technology School of Science alumni
• Complex analysts
• People from Kansas City, Missouri
• Dartmouth College alumni
• University of Maryland, College Park faculty
• Stanford University Department of Mathematics faculty