Arthur J Lohwater

Updated on Nov 22, 2023

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Nationality United States Fields Mathematics Role Mathematician		Name Arthur Lohwater Doctoral advisor Wladimir Seidel
Born October 20, 1922 ( 1922-10-20 ) Institutions University of Rochester University of Michigan Case Western Reserve University Alma mater University of Rochester Thesis The Boundary Values Of A Class Of Analytic Functions (1951) Spouse Marjorie White Lohwater Died June 10, 1982, Cleveland, Ohio, United States Education University of Rochester (1951) Books The Theory of Cluster Sets Awards Guggenheim Fellowship for Natural Sciences, US & Canada People also search for Edward Collingwood, Christian Pommerenke, Ralph P. Boas, Jr., Otomar Hajek, Wladimir Seidel

Arthur John "Jack" Lohwater (October 20, 1922 - June 10, 1982 in Cleveland) was an American mathematician.

He obtained a Ph.D. in mathematics at University of Rochester (1951), on the dissertation The Boundary Values of a Class of Analytic Functions, advised by Wladimir Seidel. Later he joined the faculty at University of Michigan and Case Western Reserve University. He was editor of Mathematical Reviews (1962–65). With Norman Steenrod and Sydney Gould he established important ties with Russian mathematicians, beginning with a conferences in Moscow (1956, 58) and resulting in a dictionary. Lohwater died after long battle with lung cancer. He was married to the mathematician Marjorie White Lohwater (1925-2007).

Books

Русско-английский словарь математических терминов. (Russian-English Dictionary of the Mathematical Sciences) (American Mathematical Society, 1961). The inverse was published by Soviet Academy of Sciences (1961).

The theory of cluster sets (Cambridge University Press, 1966). With Edward Collingwood.

Global Differentiable Dynamics, Proceedings of the Conference Held at Case Western Reserve University, Cleveland, Ohio, June 2–6, 1969. With Otomar Hájek and Roger C. McCann (editors)

The Boundary Value Problems of Mathematical Physics by Olga Aleksandrovna Ladyzhenskaya (Springer Verlag, 1985). Translation from Russian.

Publications

Lohwater, A.J.; Seidel, W (1948). "An example in conformal mapping". Duke Mathematical Journal. Duke University Press. 15 (1): 137–143. doi:10.1215/s0012-7094-48-01516-6.

Lohwater, A.J. (1952). "The boundary values of a class of meromorphic functions". Duke Mathematical Journal. Duke University Press. 19 (2): 243–252. doi:10.1215/s0012-7094-52-01925-x.

Lohwater, A.J. (1953). "On the Schwarz reflection principle.". The Michigan Mathematical Journal. The University of Michigan. 2 (2): 151–156. doi:10.1307/mmj/1028989920.

Gehring, FW; Lohwater, A.J. (1958). "On the Lindelӧf theorem". Mathematische Nachrichten. Wiley Online Library. 19 (1-6): 165–170. doi:10.1002/mana.19580190111.

Lohwater, A.J.; Piranian, G.; Rudin, W (1955). "The derivative of a Schlicht function". Math. Scand. 3: 103–106.

Mathematics in the Soviet Union, in Science 17 May 1957: 974-978

Lohwater, A.J.; Piranian, G. (1957). "The boundary behaviour of functions analytic in a disk". Annales Academiæ Scientiarum Fennicæ: Mathematica. Suomalainen tiedeakatemia.

Lohwater, A.J.; Bruckner, A.M.; Ryan, F. (1969). "Some non-negativity theorems for harmonic functions". Annales Academiae Scientiarum Fennicae. A 1. Suomalainen Tiedeakatemia.

The boundary behaviour of analytic functions, in Itogi Nauki i Techniki, Mat. Anal., 10:99-259, 1973

Lohwater, A.J.; Pommerenke, C. (1973). "On normal meromorphic functions". Annales Academiae Scientiarum Fennicae: 1 : Mathematica. Suomalainen Tiedeakatemia. ISBN 9789514101250.

"Introduction to Inequalities", 1982 (unpublished, reproduced with permission of Marjorie Lohwater) used in the "Introduction to Inequalities" course taught by Lohwater.

Awards

Guggenheim fellowship 1955 (mathematics)

References

Arthur J. Lohwater Wikipedia

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