31:
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Carlson remembers
Carleman as: "secluded and taciturn, who looked at life and people with a bitter humour. In his heart, he was inclined to kindliness towards those around him, and strove to assist them swiftly." Towards the end of his life, he remarked to his students that "professors ought to be
871:
He was a genius! My older friends in
Uppsala used to tell me about the wonderful years they had had when Carleman was there. He was the most active speaker in the Uppsala Mathematical Society and a well-trained gymnast. When people left the seminar crossing the
571:
1700:"He died of drink.... During meetings he was often a bit drunk, and afterwards in Paris I saw him come to Mandelbrojt's apartment for an advance on the travel money due him, red-eyed, with a three-day beard."
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who won four golden medals and three bronze at the
Olympic Games. During this period he was also known as a recognized fascist, anti-semite and xenophobe. His interaction with
1867:
1439:
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before the former departure to the United States was not particularly pleasant, at some point being reported due to his opinion that "Jews and foreigners should be
1626:
1463:
Kiselman, Christer O. (2002). "Generalized
Fourier transformations: The work of Bochner and Carleman viewed in the light of the theories of Schwartz and Sato".
774:
are analytic in the upper and lower half planes, respectively, and that this representation is essentially unique. Then he defined the
Fourier transform of (
1852:
1301:
Kenig, Carlos E. (1987). "Carleman estimates, uniform
Sobolev inequalities for second-order differential operators, and unique continuation theorems".
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Clark, Colin (1967). "The asymptotic distribution of eigenvalues and eigenfunctions for elliptic boundary value problems".
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Swedish Death Index, which is a
Windows based digital data base, shows different dates (1940 and 1946) of their divorce;
416:
114:
262:
857:
337:
1034:. North-Holland Mathematics Studies. Vol. 49. Amsterdam–New York: North-Holland Publishing Co. pp.
807:
1711:(later republished by MIT Press ed.). Garden City, N. Y.: Doubleday and Co. pp. 317â318.
907:
From 1929 to 1946 Carleman was married to Anna-Lisa
Lemming (1885–1954), the half-sister of the athlete
1159:
897:
566:{\displaystyle \sum _{n=1}^{\infty }\left(a_{1}a_{2}\cdots a_{n}\right)^{1/n}\leq e\sum _{n=1}^{\infty }a_{n},}
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138:
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PeÄariÄ, Josip; Stolarsky, Kenneth B. (2001). "Carleman's inequality: history and new generalizations".
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of gases (his result applies to the space-homogeneous case). The results were published posthumously in
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885:
814:
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258:
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177:
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Kjellberg, B. (1995). "Mathematicians in
Uppsala — some recollections". In A. Vretblad (ed.).
603:
432:
841:
207:
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lists the year of divorce as 1940. Her original name was Anna Lovisa
Lemming, born July 20, 1885.
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1668:. History of Mathematics. Vol. 13. Providence, RI: American Mathematical Society. p.
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Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Berkeley, Calif., 1986)
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in a domain from its values on a subset of the boundary. He also proved a generalisation of
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From 1917 he was docent at Uppsala University, and from 1923 — a full professor at
415:. He proved the necessary and sufficient condition for quasi-analyticity, now called the
1702:
1589:
1255:
931:
927:
912:
833:
802:). Though conceptually different, the definition coincides with the one given later by
742:
of at most polynomial growth, and showed that every such function can be decomposed as
424:
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for more than two decades, Carleman was the most influential mathematician in Sweden.
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1551:. Proc. Conf. at Dept. of Math. (in Swedish). Uppsala: Uppsala Univ. pp. 87â95.
908:
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660:), a way to embed a finite-dimensional system of nonlinear differential equations
1104:(1942). "Analytic functions and classes of infinitely differentiable functions".
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to Alma Linnéa Jungbeck and Karl Johan Carleman, a school teacher. He studied at
873:
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Carleman supervised the Ph.D. theses of Ulf Hellsten, Karl Persson (Dagerholm),
163:
973:(in French). Uppsala: Publications Scientifiques de l'Institut Mittag-Leffler.
30:
727:
1495:. Lecture Notes in Math. Vol. 1511. Berlin: Springer. pp. 181â214.
1818:
1784:
Mathematicians fleeing from Nazi Germany: Individual fates and global impact
1627:
Mathematicians fleeing from Nazi Germany: Individual fates and global impact
1491:
Singh, U. N. (1992). "The Carleman-Fourier transform and its applications".
1435:"Sur une inégalité différentielle dans la théorie des fonctions analytiques"
1003:
Carleman, Torsten (1960), Pleijel, Ake; Lithner, Lars; Odhnoff, Jan (eds.),
935:
916:
227:
1781:
Siegmund-Schultze, R. (2009). "Alternative (non-American) host countries".
926:
During the last decades of his life, Carleman abused alcohol, according to
719:
going outwards toward infinite absolute value is less than or equal to 2Ï.
1763:, School of Mathematics and Statistics, University of St Andrews, Scotland
1172:
711:. This theorem states that the number of asymptotic values attained by an
939:
704:, into an infinite-dimensional system of linear differential equations.
1232:
1215:
1526:
1402:
Methods of Hilbert spaces in the theory of nonlinear dynamical systems
427:. As one of the steps in the proof of the DenjoyâCarleman theorem in
235:
1521:, ESI Lect. Math. Phys., ZĂŒrich: Eur. Math. Soc., pp. 107â127,
1337:
817:
in the 1930s, Carleman gave the first proof of global existence for
1136:
The Classical Moment Problem and Some Related Questions in Analysis
707:
In 1933 Carleman published a short proof of what is now called the
1787:. Princeton, New Jersey: Princeton University Press. p. 135.
1630:. Princeton, New Jersey: Princeton University Press. p. 135.
1665:
Mathematics and mathematicians. Mathematics in Sweden before 1950
1367:. River Edge, NJ: World Scientific Publishing Co., Inc. p.
1071:
1565:. Helsingfors: Societas Scientiarum Fennica. 1935. p. 17.
1007:, Litos reprotryk and l'Institut mathematique Mittag-Leffler
1563:
Societas Scientiarum Fennica Ă
rsbok â Vuosikirja 1934-1935
810:. Carleman's definition gave rise to numerous extensions.
1549:
Festschrift in honour of Lennart Carleson and Yngve Domar
988:
ProblÚmes mathématiques dans la théorie cinétique des gaz
722:
In 1935, Torsten Carleman introduced a generalisation of
261:, as well as his work in the early 1920s, was devoted to
1404:. River Edge, NJ: World Scientific Publishing Co., Inc.
990:(in French). Uppsala: Publ. Sci. Inst. Mittag-Leffler.
631:, and found a way to study the spectral asymptotics of
1363:
Nonlinear dynamical systems and Carleman linearization
971:
L'Intégrale de Fourier et Questions que s'y Rattachent
876:, he walked on his hands on the railing of the bridge.
1472:. River Edge, NJ: World Sci. Publ. pp. 166â185.
1305:. Providence, RI: Amer. Math. Soc. pp. 948â960.
938:. At the end of 1948, he developed the liver disease
443:
340:
576:
valid for any sequence of non-negative real numbers
1873:
Members of the Royal Society of Sciences in Uppsala
1519:
134 years of Boltzmann equation. Boltzmann's legacy
411:In the mid-1920s, Carleman developed the theory of
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37:
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1708:I am a mathematician: The later life of a prodigy
1005:Edition Complete Des Articles De Torsten Carleman
1848:Members of the Royal Swedish Academy of Sciences
1466:Microlocal analysis and complex Fourier analysis
1359:Kowalski, Krzysztof; Steeb, Willi-Hans (1991).
394:{\displaystyle \int |K(x,y)|^{2}dy<\infty }
1748:
1746:
942:; he died from complications of the disease.
245:and its applications. As the director of the
8:
1760:The MacTutor History of Mathematics archive
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896:in 1934. From 1927, he was director of the
588:At about the same time, he established the
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1072:"Integral operators with Carleman kernels"
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1440:Comptes Rendus de l'Académie des Sciences
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1606:Webpage of the Swedish Olympic Committee
1592:. Note that several sources, including
884:. In 1924 he was appointed professor at
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1493:Functional analysis and operator theory
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894:Finnish Society of Sciences and Letters
956:(in French). Paris: Gauthier-Villars.
7:
1624:Siegmund-Schultze, Reinhard (2009).
621:. Later, he worked in the theory of
1853:20th-century Swedish mathematicians
257:The dissertation of Carleman under
1433:Torsten Carleman (April 3, 1933).
934:. His final years were plagued by
545:
460:
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14:
890:Royal Swedish Academy of Sciences
888:. He was elected a member of the
726:, which foreshadowed the work of
1863:Alcohol-related deaths in Sweden
419:. As a corollary, he obtained a
1258:(1939). "The ergodic theorem".
954:Les fonctions quasi analytiques
715:of order Ï along curves in the
709:DenjoyâCarlemanâAhlfors theorem
638:In 1932, following the work of
613:In the 1930s, independently of
120:DenjoyâCarlemanâAhlfors theorem
1031:History of functional analysis
738:. He considered the functions
734:; his notes were published in
623:partial differential equations
369:
364:
352:
345:
1:
1823:Mathematics Genealogy Project
1272:10.1215/S0012-7094-39-00501-6
1590:Swedish Church birth records
863:He continued his studies at
232:Tage Gillis Torsten Carleman
923:shot at the age of fifty."
423:for the determinacy of the
263:singular integral equations
241:, known for his results in
222:(8 July 1892, Visseltofta,
1889:
696:, where the components of
625:, where he introduced the
1753:Maligranda, Lech (2003),
213:
152:
28:
1160:Aequationes Mathematicae
898:Mittag-Leffler Institute
788:) as another such pair (
413:quasi-analytic functions
247:Mittag-Leffler Institute
182:Mittag-Leffler Institute
608:JensenâCarleman formula
598:, which reconstruct an
417:DenjoyâCarleman theorem
115:DenjoyâCarleman theorem
1588:Thus according to the
878:
860:, graduating in 1910.
858:VÀxjö Cathedral School
808:tempered distributions
658:Carleman linearization
567:
549:
464:
395:
95:Carleman linearization
1858:Mathematical analysts
1173:10.1007/s000100050160
1138:. Oliver & Boyd.
986:Carleman, T. (1957).
969:Carleman, T. (1944).
952:Carleman, T. (1926).
946:Selected publications
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852:Carleman was born in
633:Schrödinger operators
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444:
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107:Carleman's inequality
16:Swedish mathematician
1400:Kowalski, K (1994).
886:Stockholm University
819:Boltzmann's equation
815:mathematical physics
619:mean ergodic theorem
617:, he discovered the
441:
431:, he introduced the
421:sufficient condition
338:
259:Erik Albert Holmgren
194:Erik Albert Holmgren
178:Stockholm University
129:Mean ergodic theorem
103:Carleman's condition
1106:Rice Inst. Pamphlet
932:William Feller
928:Norbert Wiener
892:in 1926 and of the
700:are polynomials in
433:Carleman inequality
265:. He developed the
226:â 11 January 1949,
1755:"Torsten Carleman"
1734:Szolem Mandelbrojt
1732:The mathematician
1611:2012-05-23 at the
1233:10.1007/BF02398273
1216:"Torsten Carleman"
865:Uppsala University
836:and (jointly with
653:Carleman embedding
644:Erik Ivar Fredholm
628:Carleman estimates
563:
391:
271:integral operators
243:classical analysis
111:Carleman's theorem
85:Uppsala University
1738:Benoit Mandelbrot
1637:978-0-691-14041-4
1594:Maligranda (2003)
1577:Maligranda (2003)
1082:(5(21)): 93â132.
1076:Uspekhi Mat. Nauk
724:Fourier transform
650:, he devised the
606:, now called the
600:analytic function
591:Carleman formulae
404:for almost every
224:Osby Municipality
217:
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200:Doctoral students
154:Scientific career
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139:Björkénska priset
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