Title: ハンス・レヴィー (Hans Lewy)
Section: Publications

Lewy, Hans (1935). “A priori limitations for Monge-Ampère equations”. Trans. Amer. Math. Soc. 37:  417–434. doi:10.1090/s0002-9947-1935-1501794-9. MR1501794.    (1936). “On the non-vanishing of the Jacobian in certain one-to-one mappings”. Bull. Amer. Math. Soc. 42 (10):  689–692. doi:10.1090/s0002-9904-1936-06397-4. MR1563404.    (1936). “Generalized integrals and differential equations”. Proc Natl Acad Sci U S A 22 (6):  377–381. Bibcode: 1936PNAS...22..377L. doi:10.1073/pnas.22.6.377. PMC 1076784. PMID 16588088. https://www.ncbi.nlm.nih.gov/pmc/articles/PMC1076784/.    (1937). “A priori limitations for Monge-Ampère equations. II”. Trans. Amer. Math. Soc. 41:  365–374. doi:10.1090/s0002-9947-1937-1501906-9. MR1501906.    (1938). “On the existence of a closed convex surface realizing a given Riemannian metric”. Proc Natl Acad Sci U S A 24 (2):  104–106. Bibcode: 1938PNAS...24..104L. doi:10.1073/pnas.24.2.104. PMC 1077039. PMID 16588189. https://www.ncbi.nlm.nih.gov/pmc/articles/PMC1077039/.    (1938). “Generalized integrals and differential equations”. Trans. Amer. Math. Soc. 43 (3):  437–464. doi:10.1090/s0002-9947-1938-1501953-8. MR1501953.    (1938). “On differential geometry in the large. I. Minkowski's problem”. Trans. Amer. Math. Soc. 43 (2):  258–270. doi:10.1090/s0002-9947-1938-1501942-3. MR1501942. Lewy, Hans; Green, John Willie (1939). Aspects of the Calculus of Variations. Berkeley: U. of California Press; notes by J. W. Green from lectures by Hans Lewy, vi+96 pp. Lewy, Hans (1946). “Water waves on sloping beaches”. Bull. Amer. Math. Soc. 52 (9):  737–775. doi:10.1090/s0002-9904-1946-08643-7. MR0022134.    (1951). “On the boundary behavior of minimal surfaces”. Proc Natl Acad Sci U S A 37 (2):  103–110. Bibcode: 1951PNAS...37..103L. doi:10.1073/pnas.37.2.103. PMC 1063312. PMID 16578356. https://www.ncbi.nlm.nih.gov/pmc/articles/PMC1063312/.    (1952). “A note on harmonic functions and a hydrodynamical application”. Proc. Amer. Math. Soc. 3:  111–113. doi:10.1090/s0002-9939-1952-0049399-9. MR0049399.    (1959). “On the reflection laws of second order differential equations in two independent variables”. Bull. Amer. Math. Soc. 65 (2):  37–58. doi:10.1090/s0002-9904-1959-10270-6. MR0104048. デイビット・キンダレレールにより編集され、レヴィーの最も重要な業績を含んだ選集は2冊の書籍(Kinderlehrer 2002a)と(Kinderlehrer 2002b)として出版された。Kinderlehrer, David, ed. (2002a), Hans Lewy Selecta. Volume 1, Contemporary Mathematicians, Boston-Basel-Stuttgart: Birkhäuser Verlag, pp. lxvi+357, ISBN 0-8176-3523-8, Zbl 1132.01312, https://books.google.com/?id=VDutq5E6CbgC&printsec=frontcover#v=onepage&q&f=true . With biographical essays by Helen Lewy and Constance Reid, and commentaries on Lewy's work by Erhard Heinz, Peter D. Lax, Jean Leray, Richard MacCamy, Louis Nirenberg and François Treves.Kinderlehrer, David, ed. (2002b), Hans Lewy Selecta. Volume 2, Contemporary Mathematicians, Boston-Basel-Stuttgart: Birkhäuser Verlag, pp. xviii, 446, ISBN 0-8176-3524-6, Zbl 1147.01335, https://books.google.com/books?id=mX8hTcETCc4C&printsec=frontcover#v=onepage&q&f=true .次の業績は「Selecta」に原語、あるいは翻訳された形で含まれている。Courant, R.; Friedrichs, K.; Lewy, H. (1928), “Über die partiellen Differenzengleichungen der mathematischen Physik” (German), Mathematische Annalen 100 (1):  32–74, Bibcode: 1928MatAn.100...32C, doi:10.1007/BF01448839, JFM 54.0486.01, MR1512478, http://resolver.sub.uni-goettingen.de/purl?GDZPPN002272636 . There are also two English translations of the 1928 German original paper: the first one is a translation from the German by Phyllis Fox, circulated as a research report: Courant, R.; Friedrichs, K.; Lewy, H. (September 1956) [1928], On the partial difference equations of mathematical physics, AEC Research and Development Report, NYO-7689, New York: AEC Computing and Applied Mathematics Centre – Courant Institute of Mathematical Sciences, pp. V + 76,  オリジナルのOctober 23, 2008時点におけるアーカイブ。, https://archive.org/stream/onpartialdiffere00cour#page/n0/mode/2up . The second one is a typographical improvement of the first, published by IBM as: Courant, R.; Friedrichs, K.; Lewy, H. (March 1967) [1928], “On the partial difference equations of mathematical physics”, IBM Journal of Research and Development 11 (2):  215–234, Bibcode: 1967IBMJ...11..215C, doi:10.1147/rd.112.0215, MR0213764, Zbl 0145.40402, http://domino.research.ibm.com/tchjr/journalindex.nsf/a3807c5b4823c53f85256561006324be/769774a3c9f3685f85256bfa00683f8a!OpenDocument . A freely downloadable  version of this one can be found hereLewy, Hans (1957), “An example of a smooth linear partial differential equation without solution”, Annals of Mathematics 66 (1):  155–158, doi:10.2307/1970121, JSTOR 1970121, MR0088629, Zbl 0078.08104, https://jstor.org/stable/1970121 .Lewy, Hans (1977), On the boundary behavior of holomorphic mappings (Lezione tenuta il 3 maggio 1976) (Lecture given on May 3, 1976), Contributi del Centro Linceo Interdisciplinare di Scienze Matematiche e Loro Applicazioni, 35, Rome: Accademia Nazionale dei Lincei, pp. 8, http://www.lincei.it/pubblicazioni/catalogo/volume.php?rid=33201 .