Szolem Mandelbrojt

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

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

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

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

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, Paul Malliavin and George Piranian 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. 305 (Exposés sur la théorie des fonctions, no. 2). Hermann.^[5]

• Mandelbrojt, Szolem (1938). "La régularisation des fonctions". Actualités Scientifiques et Industrielles. 733 (Exposés sur la théorie des fonctions, no. 13). Hermann.

• Mandelbrojt, Szolem; Ulrich, Floyd Edward (1942). "On a generalization of the problem of quasi-analyticity". Trans. Amer. Math. Soc. 52 (2): 265–282.
  MR 0007015
  .

• Mandelbrojt, Szolem (1944). "Quasi-analyticity and analytic continuation—a general principle". Trans. Amer. Math. Soc. 55: 96–131.
  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.
  MR 0020142
  .

• Mandelbrojt, Szolem (1948). "Analytic continuation and infinitely differentiable functions". Bull. Amer. Math. Soc. 54 (3): 239–248.
  MR 0023877
  .

• MR 0111727
  .

• Mandelbrojt, Szolem (1966). "Les taubériens généraux de Norbert Wiener". Bull. Amer. Math. Soc. 72 (1): 48–51.
  MR 0184008
  .

• Mandelbrojt, Szolem (1967). "Exponentielle associée à un ensemble; transformées de Fourier généralisées". Annales de l'Institut Fourier. 17 (1): 325–351.
  MR 0257360
  .

• Mandelbrojt, Szolem (1923). Sur les séries de Taylor qui présentent des lacunes (Ph.D. thesis). Paris-Sorbonne University.

Notes

• O'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 Collège de France.
• Szolem Mandelbrojt at Hathi Trust Digital Library.