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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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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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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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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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Pringsheim, Alfred
Dictionary entry from: Complete Dictionary of Scientific Biography
...where he died two years later. In mathematics Pringsheim was the most consequent follower of Weierstrass. His field was pre-Lebesgue real functions and complex functions; his work is characterized by meticulous rigor rather than by great ideas. His best...
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Moore, Eliakim Hastings
Dictionary entry from: Complete Dictionary of Scientific Biography
...analysis sparkled most. He brought to culmination the study of improper definite integrals before the appearance of the more effective integration theories of Borel and Lebesgue. He diligently advanced general analysis, which for him me
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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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Bohr, Harald
Dictionary entry from: Complete Dictionary of Scientific Biography
...generalizing Fej é r ’ s theorem. Stepanoff, Wiener, and Besicovitch studied generalizations depending on the Lebesgue integral. Other aspects of the theory were studied by Favard, Wintner, and many others. In the 1930 ’ s Von Neumann...
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