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Szolem Mandelbrojt

January 07, 2023

Szolem Mandelbrojt (10 January 1899 – 23 September 1983) was a Polish-French mathematician who specialized in mathematical analysis. He was a professor at the Collège de France from 1938 to 1972, where he held the Chair of Analytical Mechanics and Celestial Mechanics.

Biography

Szolem Mandelbrojt was born on 10 January 1899 in Warsaw, Poland into a Jewish family of Lithuanian descent. He was initially educated in Warsaw, then in 1919 he moved to Kharkov, Ukraine (then USSR) and spent a year as a student of the Russian mathematician Sergei Bernstein. A year later, he emigrated to France and settled in Paris. In subsequent years, he attended the seminars of Jacques Hadamard, Henri Lebesgue, Émile Picard, and others. In 1923, he received a doctorate from Paris-Sorbonne University on the analytic continuation of the Taylor series. Hadamard was his Ph.D. advisor.

In 1924 Mandelbrojt was awarded a Rockefeller Fellowship in the United States. In May 1926 he married Gladys Manuelle Grunwald (born 28 June 1904 in Paris). From 1926 to 1927, he spent a year as an assistant professor at the Rice Institute (now Rice University) in Houston, Texas.

In 1928 he returned to France - having received French citizenship in 1927 – and was appointed an assistant professor at the University of Lille. The following year he became a full professor at the University of Clermont-Ferrand. In December 1934 Mandelbrojt co-founded the Nicolas Bourbaki group of mathematicians, of which he was a member until World War II. He succeeded Hadamard at Collège de France in 1938 and took up the Chair of Analytical Mechanics and Celestial Mechanics.[1]

Mandelbrojt helped several members of his family emigrate from Poland to France in 1936. One of them, his nephew Benoit Mandelbrot, was to discover the Mandelbrot set and coin the word fractal in the 1970s.

In 1939 he fought for France when the country was invaded by the Nazis, then in 1940, along with many scientists helped by Louis Rapkine and the Rockefeller Foundation, Mandelbrojt relocated to the United States, taking up a position at the Rice Institute. In 1944 he joined the scientific committee of the Free French Forces in London, England.

In 1945 Mandelbrojt moved back to France and resumed his professional activities at Collège de France, where he remained until his retirement in 1972. In his retirement year he was elected a member of the French Academy of Sciences.

Szolem Mandelbrojt died at the age of 84 in Paris, France, on 23 September 1983.

Research

Even though Mandelbrojt was an early member of the Bourbaki group, and he did take part in a number of Bourbaki gatherings until the breakout of the war, his main research interests were actually quite remote from abstract algebra. As evidenced by his publications (see next), he focused on complex analysis and harmonic analysis, with an emphasis on Dirichlet series, lacunary series, and entire functions.

Rather than a Bourbakist, he is perhaps more accurately described as a follower of G. H. Hardy. Together with Norbert Wiener and Torsten Carleman, he can be viewed as a moderate modernizer of classical Fourier analysis.

Shmuel Agmon, Jean-Pierre Kahane, Yitzhak Katznelson, and Paul Malliavin are among his students.

Selected works

Books

  • Hadamard, Jacques; Mandelbrojt, Szolem (1926). La série de Taylor et son prolongement analytique (2nd ed.). Gauthier-Villars.[2]
  • Mandelbrojt, Szolem (1951). "General theorems of closure". Rice Institute Pamphlet (Monograph published as a special issue). XIV (4): 225–352.
  • Mandelbrojt, Szolem (1958). "Composition Theorems". Rice Institute Pamphlet (Monograph published as a special issue). 45 (3).
  • Mandelbrojt, Szolem (1967). Fonctions entières et transformées de Fourier. Applications. Mathematical Society of Japan.
  • Mandelbrojt, Szolem (1972) [1969]. Dirichlet series. Principles and methods [Séries de Dirichlet. Principes et méthodes]. Reidel.

Lecture notes

  • Mandelbrojt, Szolem (1927). "Modern researches on the singularities of functions defined by Taylor's series; lectures delivered at the Rice Institute during the academic year 1926-27". Rice Institute Pamphlet (12 articles). 14 (4).[3]
  • Mandelbrojt, Szolem (1935). Séries de Fourier et classes quasi-analytiques de fonctions. Leçons professées à l'Institut Henri Poincaré et à la Faculté des sciences de Clermont-Ferrand. Gauthier-Villars.
  • Mandelbrojt, Szolem (1942). "Analytic Functions and Classes of Infinitely Differentiable Functions. A series of lectures delivered at the Rice Institute during the academic year 1940-41". Rice Institute Pamphlet (17 articles). 29 (1).
  • Mandelbrojt, Szolem (1944). "Dirichlet series. Lectures delivered at the Rice Institute during the academic year 1942-43". Rice Institute Pamphlet (10 articles). 31 (4).
  • Mandelbrojt, Szolem (1952). Séries adhérentes. Régularisation des suites. Applications. Leçons professées au Collège de France et au Rice Institute. Gauthier-Villars.[4]

Articles

  • Mandelbrojt, M. S. (1932). Les singularités des fonctions analytiques représentées par une série de Taylor (PDF). Mémorial des Sciences Mathématiques. Vol. 54. Gauthier-Villars.
  • Mandelbrojt, Szolem (1936). "Séries lacunaires". Actualités Scientifiques et Industrielles. Hermann. 305 (Exposés sur la théorie des fonctions, no. 2).[5]
  • Mandelbrojt, Szolem (1938). "La régularisation des fonctions". Actualités Scientifiques et Industrielles. Hermann. 733 (Exposés sur la théorie des fonctions, no. 13).
  • Mandelbrojt, Szolem; Ulrich, Floyd Edward (1942). "On a generalization of the problem of quasi-analyticity". Trans. Amer. Math. Soc. 52 (2): 265–282. doi:10.1090/S0002-9947-1942-0007015-4. MR 0007015.
  • Mandelbrojt, Szolem (1944). "Quasi-analyticity and analytic continuation—a general principle". Trans. Amer. Math. Soc. 55: 96–131. doi:10.1090/S0002-9947-1944-0009635-1. MR 0009635.
  • Mandelbrojt, Szolem; MacLane, Gerald R. (1947). "On functions holomorphic in a strip region, and an extension of Watson's problem". Trans. Amer. Math. Soc. 61 (3): 454–467. doi:10.1090/S0002-9947-1947-0020142-5. MR 0020142.
  • Mandelbrojt, Szolem (1948). "Analytic continuation and infinitely differentiable functions". Bull. Amer. Math. Soc. 54 (3): 239–248. doi:10.1090/S0002-9904-1948-08963-7. MR 0023877.
  • Chandrasekharan, K.; Mandelbrojt, Szolem (1959). "On solutions of Riemann's functional equation". Bull. Amer. Math. Soc. 65 (6): 358–362. doi:10.1090/S0002-9904-1959-10372-4. MR 0111727.
  • Mandelbrojt, Szolem (1966). "Les taubériens généraux de Norbert Wiener". Bull. Amer. Math. Soc. 72 (1): 48–51. doi:10.1090/S0002-9904-1966-11461-1. MR 0184008.
  • Mandelbrojt, Szolem (1967). "Exponentielle associée à un ensemble; transformées de Fourier généralisées". Annales de l'Institut Fourier. 17 (1): 325–351. doi:10.5802/aif.259. MR 0257360.

Thesis

Notes

  1. ^ Professeurs disparus at Collège de France.
  2. ^ Smail, L. L. (1928). " 'La Série de Taylor et son Prolongement Analytique' by J. Hadamard and S. Mandelbrojt". Bull. Amer. Math. Soc. (Review). 34 (1): 119–120. doi:10.1090/S0002-9904-1928-04539-1.
  3. ^ Widder, D. V. (1929). " 'Modern Researches on the Singularities of Functions Defined by Taylor's Series' by S. Mandelbrojt". Bull. Amer. Math. Soc. (Review). 35 (3): 409–410. doi:10.1090/S0002-9904-1929-04762-1.
  4. ^ Fuchs, W. H. J. (1953). " 'Séries adhérentes. Régularisation des suites. Applications' by S. Mandelbrojt". Bull. Amer. Math. Soc. (Review). 59 (4): 413–414. doi:10.1090/S0002-9904-1953-09743-9.
  5. ^ Moore, C. N. (1938). " 'La Réduction des Séries Alternées Divergentes et ses Applications' by J. Ser and 'Séries Lacunaires' by S. Mandelbrojt". Bull. Amer. Math. Soc. (Review). 44 (5): 313. doi:10.1090/S0002-9904-1938-06721-3.

References

  • Comité national français de mathématiciens (1981). Szolem Mandelbrojt. Selecta. Gauthier-Villars.

External links

January 07, 2023
szolem, mandelbrojt, january, 1899, september, 1983, polish, french, mathematician, specialized, mathematical, analysis, professor, collège, france, from, 1938, 1972, where, held, chair, analytical, mechanics, celestial, mechanics, born, 1899, january, 1899war. Szolem Mandelbrojt 10 January 1899 23 September 1983 was a Polish French mathematician who specialized in mathematical analysis He was a professor at the College de France from 1938 to 1972 where he held the Chair of Analytical Mechanics and Celestial Mechanics Szolem MandelbrojtSzolem MandelbrojtBorn 1899 01 10 10 January 1899Warsaw Congress PolandDied23 September 1983 1983 09 23 aged 84 Paris FranceNationalityPolish and FrenchAlma materParis Sorbonne UniversityUniversity of KharkivScientific careerFieldsMathematicsInstitutionsCollege de FranceRice UniversityUniversity of Clermont FerrandUniversity of LilleDoctoral advisorJacques HadamardDoctoral studentsPaul MalliavinShmuel AgmonJohn GergenJean Pierre KahaneYitzhak KatznelsonGeorge PiranianHans Jakob ReiterNotesHe was the uncle of Benoit Mandelbrot Contents 1 Biography 2 Research 3 Selected works 3 1 Books 3 2 Lecture notes 3 3 Articles 3 4 Thesis 4 Notes 5 References 6 External linksBiography EditSzolem Mandelbrojt was born on 10 January 1899 in Warsaw Poland into a Jewish family of Lithuanian descent He was initially educated in Warsaw then in 1919 he moved to Kharkov Ukraine then USSR and spent a year as a student of the Russian mathematician Sergei Bernstein A year later he emigrated to France and settled in Paris In subsequent years he attended the seminars of Jacques Hadamard Henri Lebesgue Emile Picard and others In 1923 he received a doctorate from Paris Sorbonne University on the analytic continuation of the Taylor series Hadamard was his Ph D advisor In 1924 Mandelbrojt was awarded a Rockefeller Fellowship in the United States In May 1926 he married Gladys Manuelle Grunwald born 28 June 1904 in Paris From 1926 to 1927 he spent a year as an assistant professor at the Rice Institute now Rice University in Houston Texas In 1928 he returned to France having received French citizenship in 1927 and was appointed an assistant professor at the University of Lille The following year he became a full professor at the University of Clermont Ferrand In December 1934 Mandelbrojt co founded the Nicolas Bourbaki group of mathematicians of which he was a member until World War II He succeeded Hadamard at College de France in 1938 and took up the Chair of Analytical Mechanics and Celestial Mechanics 1 Mandelbrojt helped several members of his family emigrate from Poland to France in 1936 One of them his nephew Benoit Mandelbrot was to discover the Mandelbrot set and coin the word fractal in the 1970s In 1939 he fought for France when the country was invaded by the Nazis then in 1940 along with many scientists helped by Louis Rapkine and the Rockefeller Foundation Mandelbrojt relocated to the United States taking up a position at the Rice Institute In 1944 he joined the scientific committee of the Free French Forces in London England In 1945 Mandelbrojt moved back to France and resumed his professional activities at College de France where he remained until his retirement in 1972 In his retirement year he was elected a member of the French Academy of Sciences Szolem Mandelbrojt died at the age of 84 in Paris France on 23 September 1983 Research EditEven though Mandelbrojt was an early member of the Bourbaki group and he did take part in a number of Bourbaki gatherings until the breakout of the war his main research interests were actually quite remote from abstract algebra As evidenced by his publications see next he focused on complex analysis and harmonic analysis with an emphasis on Dirichlet series lacunary series and entire functions Rather than a Bourbakist he is perhaps more accurately described as a follower of G H Hardy Together with Norbert Wiener and Torsten Carleman he can be viewed as a moderate modernizer of classical Fourier analysis Shmuel Agmon Jean Pierre Kahane Yitzhak Katznelson and Paul Malliavin are among his students Selected works EditBooks Edit Hadamard Jacques Mandelbrojt Szolem 1926 La serie de Taylor et son prolongement analytique 2nd ed Gauthier Villars 2 Mandelbrojt Szolem 1951 General theorems of closure Rice Institute Pamphlet Monograph published as a special issue XIV 4 225 352 Mandelbrojt Szolem 1958 Composition Theorems Rice Institute Pamphlet Monograph published as a special issue 45 3 Mandelbrojt Szolem 1967 Fonctions entieres et transformees de Fourier Applications Mathematical Society of Japan Mandelbrojt Szolem 1972 1969 Dirichlet series Principles and methods Series de Dirichlet Principes et methodes Reidel Lecture notes Edit Mandelbrojt Szolem 1927 Modern researches on the singularities of functions defined by Taylor s series lectures delivered at the Rice Institute during the academic year 1926 27 Rice Institute Pamphlet 12 articles 14 4 3 Mandelbrojt Szolem 1935 Series de Fourier et classes quasi analytiques de fonctions Lecons professees a l Institut Henri Poincare et a la Faculte des sciences de Clermont Ferrand Gauthier Villars Mandelbrojt Szolem 1942 Analytic Functions and Classes of Infinitely Differentiable Functions A series of lectures delivered at the Rice Institute during the academic year 1940 41 Rice Institute Pamphlet 17 articles 29 1 Mandelbrojt Szolem 1944 Dirichlet series Lectures delivered at the Rice Institute during the academic year 1942 43 Rice Institute Pamphlet 10 articles 31 4 Mandelbrojt Szolem 1952 Series adherentes Regularisation des suites Applications Lecons professees au College de France et au Rice Institute Gauthier Villars 4 Articles Edit Mandelbrojt M S 1932 Les singularites des fonctions analytiques representees par une serie de Taylor PDF Memorial des Sciences Mathematiques Vol 54 Gauthier Villars Mandelbrojt Szolem 1936 Series lacunaires Actualites Scientifiques et Industrielles Hermann 305 Exposes sur la theorie des fonctions no 2 5 Mandelbrojt Szolem 1938 La regularisation des fonctions Actualites Scientifiques et Industrielles Hermann 733 Exposes sur la theorie des fonctions no 13 Mandelbrojt Szolem Ulrich Floyd Edward 1942 On a generalization of the problem of quasi analyticity Trans Amer Math Soc 52 2 265 282 doi 10 1090 S0002 9947 1942 0007015 4 MR 0007015 Mandelbrojt Szolem 1944 Quasi analyticity and analytic continuation a general principle Trans Amer Math Soc 55 96 131 doi 10 1090 S0002 9947 1944 0009635 1 MR 0009635 Mandelbrojt Szolem MacLane Gerald R 1947 On functions holomorphic in a strip region and an extension of Watson s problem Trans Amer Math Soc 61 3 454 467 doi 10 1090 S0002 9947 1947 0020142 5 MR 0020142 Mandelbrojt Szolem 1948 Analytic continuation and infinitely differentiable functions Bull Amer Math Soc 54 3 239 248 doi 10 1090 S0002 9904 1948 08963 7 MR 0023877 Chandrasekharan K Mandelbrojt Szolem 1959 On solutions of Riemann s functional equation Bull Amer Math Soc 65 6 358 362 doi 10 1090 S0002 9904 1959 10372 4 MR 0111727 Mandelbrojt Szolem 1966 Les tauberiens generaux de Norbert Wiener Bull Amer Math Soc 72 1 48 51 doi 10 1090 S0002 9904 1966 11461 1 MR 0184008 Mandelbrojt Szolem 1967 Exponentielle associee a un ensemble transformees de Fourier generalisees Annales de l Institut Fourier 17 1 325 351 doi 10 5802 aif 259 MR 0257360 Thesis Edit Mandelbrojt Szolem 1923 Sur les series de Taylor qui presentent des lacunes Ph D thesis Paris Sorbonne University Notes Edit Professeurs disparus at College de France Smail L L 1928 La Serie de Taylor et son Prolongement Analytique by J Hadamard and S Mandelbrojt Bull Amer Math Soc Review 34 1 119 120 doi 10 1090 S0002 9904 1928 04539 1 Widder D V 1929 Modern Researches on the Singularities of Functions Defined by Taylor s Series by S Mandelbrojt Bull Amer Math Soc Review 35 3 409 410 doi 10 1090 S0002 9904 1929 04762 1 Fuchs W H J 1953 Series adherentes Regularisation des suites Applications by S Mandelbrojt Bull Amer Math Soc Review 59 4 413 414 doi 10 1090 S0002 9904 1953 09743 9 Moore C N 1938 La Reduction des Series Alternees Divergentes et ses Applications by J Ser and Series Lacunaires by S Mandelbrojt Bull Amer Math Soc Review 44 5 313 doi 10 1090 S0002 9904 1938 06721 3 References EditComite national francais de mathematiciens 1981 Szolem Mandelbrojt Selecta Gauthier Villars External links EditO Connor John J Robertson Edmund F Szolem Mandelbrojt MacTutor History of Mathematics archive University of St Andrews Szolem Mandelbrojt at the Mathematics Genealogy Project Szolem Mandelbrojt at College de France Szolem Mandelbrojt at Hathi Trust Digital Library Retrieved from https en wikipedia org w index php title Szolem Mandelbrojt amp oldid 1122454930, wikipedia, wiki, book, books, library,

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