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Lebesgue, Henri Léon
Dictionary entry from: Complete Dictionary of Scientific Biography
Lebesgue, Henri L é on ( b. Beauvais...France, 26 July 1941) mathematics. Lebesgue studied at the É cole Normale...the Acad é mie des Sciences. Lebesgue ’ s outstanding contribution...
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Fatou, Pierre Joseph Louis
Dictionary entry from: Complete Dictionary of Scientific Biography
...on the Taylor series, the theory of the Lebesgue integral, and the iteration of rational...fundamental theorem in the theory of the Lebesgue integral. He found that the theory of the Lebesgue integral allowed the first two of the above...
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Riesz, Frigyes (Frédéric)
Dictionary entry from: Complete Dictionary of Scientific Biography
...functions f for which f p 1, part; is Lebesgue integrable). He provided much of the...much of his work Riesz relied on the Lebesgue integral, and during the 1920 ’...proved some of the basic theorems of the Lebesgue theory. In the topics so far discussed...
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Janiszewski, Zygmunt
Dictionary entry from: Complete Dictionary of Scientific Biography
...Hilbert, H. Minkowski, Zermelo, Goursat, Hadamard, Lebesgue, Picard, and Poincar ë , and the philosophers Foerster...the Sorbonne in 1911 for his thesis on a topic proposed by Lebesgue. The bold notions that he introduced in it and the results...
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Hobson, Ernest William
Dictionary entry from: Complete Dictionary of Scientific Biography
...became aware of the work of the French school (Baire, Borel, Lebesgue), realizing that this school formed the necessary foundation...1906), introduced to English readers the vital Borel-Lebesgue concepts of measure and integration. In addition, this work...
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Fubini, Guido
Dictionary entry from: Complete Dictionary of Scientific Biography
...monotonic functions. He also studied, in the calculus of variations, the reduction of Weierstrass ’ integral to a Lebesgue integral; the possibility of expressing every surface integral by two simple integrations, and the converse; and the manner...
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Privalov, Ivan Ivanovich
Dictionary entry from: Complete Dictionary of Scientific Biography
...established a wide-ranging program of studies on the theory of analytical functions by means of the theory of measure and Lebesgue integrals, and began to put it into effect at once. In “ Cauchy lntegral ” (1918), which continued...
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Radó, Tibor
Dictionary entry from: Complete Dictionary of Scientific Biography
...guidance on problems raised by Zoard de Ge ö cze. It was on the basis of the theory of functions of real variables of Lebesgue and Riesz that Rad ó was able to simplify and generalize Ge ö cze ’ s results and help to create...
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Radon, Johann
Dictionary entry from: Complete Dictionary of Scientific Biography
...additiven Mengenfunktionen, ” which exerted a great influence, essentially combined the integration theories of Lebesgue and Stieltjes. Led to his research by physical considerations, he studied the most general distributions of masses in space...
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Fejér, Lipót
Dictionary entry from: Complete Dictionary of Scientific Biography
...of divergence phenomena. These results were continued and generalized in several directions by Fej é r himself, by Lebesgue (1905), by M. Riesz and S. Chapman (1909 – 1911), by Hardy and Littlewood (1913), by T. Carleman (1921...
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