Arthur J. Lohwater
Encyclopedia
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).
He obtained a Ph.D.
Ph.D.
A Ph.D. is a Doctor of Philosophy, an academic degree.Ph.D. may also refer to:* Ph.D. , a 1980s British group*Piled Higher and Deeper, a web comic strip*PhD: Phantasy Degree, a Korean comic series* PhD Docbook renderer, an XML renderer...
in mathematics
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
at University of Rochester
University of Rochester
The University of Rochester is a private, nonsectarian, research university in Rochester, New York, United States. The university grants undergraduate and graduate degrees, including doctoral and professional degrees. The university has six schools and various interdisciplinary programs.The...
(1951), on the dissertation The Boundary Values of a Class of Analytic Functions, advised by Wladimir Seidel
Wladimir Seidel
Wladimir P. Seidel was a German-Americanmathematician.He got his Ph.D. from Ludwig-Maximilians-Universität in München on a dissertation...
.
Later he joined the faculty at University of Michigan
University of Michigan
The University of Michigan is a public research university located in Ann Arbor, Michigan in the United States. It is the state's oldest university and the flagship campus of the University of Michigan...
and Case Western Reserve University
Case Western Reserve University
Case Western Reserve University is a private research university located in Cleveland, Ohio, USA...
.
He was editor of Mathematical Reviews
Mathematical Reviews
Mathematical Reviews is a journal and online database published by the American Mathematical Society that contains brief synopses of many articles in mathematics, statistics and theoretical computer science.- Reviews :...
(1962-65).
With Norman Steenrod
Norman Steenrod
Norman Earl Steenrod was a preeminent mathematician most widely known for his contributions to the field of algebraic topology.-Life:...
and Sydney Gould he established important ties with Russian mathematicians, beginning with a conferences in Moscow
Moscow
Moscow is the capital, the most populous city, and the most populous federal subject of Russia. The city is a major political, economic, cultural, scientific, religious, financial, educational, and transportation centre of Russia and the continent...
(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 SocietyAmerican Mathematical SocietyThe American Mathematical Society is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, which it does with various publications and conferences as well as annual monetary awards and prizes to mathematicians.The society is one of the...
, 1961). The inverse was published by Soviet Academy of Sciences (1961). - The theory of cluster sets (Cambridge University PressCambridge University PressCambridge University Press is the publishing business of the University of Cambridge. Granted letters patent by Henry VIII in 1534, it is the world's oldest publishing house, and the second largest university press in the world...
, 1966). With Edward CollingwoodEdward CollingwoodSir Edward Foyle Collingwood CBE FRS FRSE DL was an English mathematician and scientist.He was a member of the Eglingham branch of a prominent Northumbrian family, the son of Col. Cuthbert Collingwood of the Lancashire Fusiliers, whose family seat was at Lilburn Tower, near Wooler, Northumberland...
. - Global Differentiable Dynamics, Proceedings of the Conference Held at Case Western Reserve University, Cleveland, Ohio, June 2-6, 1969. With Otomar HájekOtomar HájekOtomar Hájek is a Czech-American mathematician, known for his contributions to dynamical systems, game theory and control theory.He got his Ph.D. at Charles University in Prague on a thesis entitled Dynamical systems in the plane...
and Roger C. McCann (editors) - The Boundary Value Problems of Mathematical Physics by Olga Aleksandrovna LadyzhenskayaOlga Aleksandrovna LadyzhenskayaOlga Aleksandrovna Ladyzhenskaya was a Soviet and Russian mathematician. She was known for her work on partial differential equations and fluid dynamics...
(Springer Verlag, 1985). Translation from Russian.
Publications
- An example in conformal mapping, Duke Mathematical JournalDuke Mathematical JournalDuke Mathematical Journal is a peer-reviewed mathematics journal published by Duke University Press. It was established in 1935. The founding editors-in-chief were David Widder, Arthur Coble, and Joseph Miller Thomas. The first issue included a paper by Solomon Lefschetz...
, 15 (1948), 137-143. With W. Seidel. - The boundary values of a class of meromorphic functionMeromorphic functionIn complex analysis, a meromorphic function on an open subset D of the complex plane is a function that is holomorphic on all D except a set of isolated points, which are poles for the function...
s, Duke Mathematical JournalDuke Mathematical JournalDuke Mathematical Journal is a peer-reviewed mathematics journal published by Duke University Press. It was established in 1935. The founding editors-in-chief were David Widder, Arthur Coble, and Joseph Miller Thomas. The first issue included a paper by Solomon Lefschetz...
, 19 (1952), 243-252. - On the Schwartz reflection principle, Michigan Mathematical JournalMichigan Mathematical JournalMichigan Mathematical Journal is published by the mathematics department atUniversity of Michigan.Its initial editor was George Piranian....
, 2, 151-56, 1953 - Lohwater, George PiranianGeorge PiranianGeorge Piranian , born in Thalwil outside Zürich, Switzerland, was a Swiss-American mathematician of Swiss and Armenian descent...
and Walter RudinWalter RudinWalter Rudin was an American mathematician, for most of his career a Professor of Mathematics at the University of Wisconsin–Madison....
, The derivative of a schlicht function, Math. Scand. 3 (1955), 103-106 - Mathematics in the Soviet Union, in ScienceScience (journal)Science is the academic journal of the American Association for the Advancement of Science and is one of the world's top scientific journals....
17 May 1957: 974-978 - The boundary behavior of functions analytic in a disk, Annales Academiæ Scientiarum Fennicæ, Ser. A I, 239:1-17, 1957. With G, Piranian
- Some non-negativity theorems for harmonic functionHarmonic functionIn mathematics, mathematical physics and the theory of stochastic processes, a harmonic function is a twice continuously differentiable function f : U → R which satisfies Laplace's equation, i.e....
s. Annales Academiæ Scientiarum Fennicæ,. Ser. A.I. 452(?):1-8, 1969. With Andrew M. BrucknerAndrew M. BrucknerAndrew Michael Bruckner is a retired American mathematician, known for his contributions to real analysis.He got his Ph.D. in mathematics from University of California, Los Angeles on the dissertation Minimal Superadditive Extensions of Superadditive Functions advised by John Green .He joined the...
and Frank RyanFrank Ryan (American football)Frank Beall Ryan is a retired American football quarterback in the National Football League who played for the Los Angeles Rams , Cleveland Browns and Washington Redskins . Although he led the Browns to their last National Football League title in 1964, Ryan is best remembered for being perhaps... - The boundary behaviour of analytic functionAnalytic functionIn mathematics, an analytic function is a function that is locally given by a convergent power series. There exist both real analytic functions and complex analytic functions, categories that are similar in some ways, but different in others...
s, in Itogi Nauki i TechnikiItogi Nauki i TechnikiItogi Nauki i Techniki is a Russian journal, publishing several series for a variety of areas in science ....
, Mat. Anal., 10:99-259, 1973 - On normal meromorphic functions, Annales Academiæ Scientiarum Fennicæ, Ser AI, no. 550:1-12, 1973. With Christian PommerenkeChristian PommerenkeChristian Pommerenke is a mathematician known for his work in complex analysis.He studied at the University of Göttingen , achieving diploma in mathematics , Ph.D. on the dissertation Über die Gleichverteilung von Gitterpunkten auf m-dimensionalen Ellipsoiden and habilitation...
- "Introduction to Inequalities", 1982 (unpublished, reproduced with permission of Marjorie Lohwater) used in the "Introduction to Inequalities" course taught by Lohwater.