# Arthur J. Lohwater

## From Wikipedia, the free encyclopedia

Arthur J. Lohwater | |
---|---|

Born | October 20, 1922 |

Died | June 10, 1982 | (aged 59)

Nationality | American |

Alma mater | University of Rochester |

Spouse(s) | Marjorie White Lohwater |

Scientific career | |

Fields | Mathematics |

Institutions | University of Rochester University of Michigan Case Western Reserve University |

Thesis | The Boundary Values Of A Class Of Analytic Functions (1951) |

Doctoral advisor | Wladimir Seidel |

**Arthur John "Jack" Lohwater** (October 20, 1922 - June 10, 1982) 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.^{[1]}
Later he joined the faculty at University of Michigan and Case Western Reserve University.
He was editor of Mathematical Reviews (1962–65).^{[2]}
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 a long battle with lung cancer.^{[3]}
He was married to the mathematician Marjorie White Lohwater (1925-2007).^{[4]}

## 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.
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(help) - 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.
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(help) - "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)
^{[5]}

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