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Titlebook: Mathematicians in Bologna 1861–1960; Salvatore Coen Book 2012 Springer Basel AG 2012 University of Bologna.history of mathematics.history

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Leonida Tonelli: A Biography,ions, and put it within the socio-political context of his time. One of the most outstanding Italian analysts in the first half of twentieth century, first in Bologna and then in Pisa and Rome, Leonida Tonelli’s path combined elements of different, conflictual in some moment, relationships which fea
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Bruno Pini and the Parabolic Harnack Inequality: The Dawning of Parabolic Potential Theory,ations. We mainly focus on the ., discovered by Pini in 1954, jointly, and independently, with Jacques Hadamard. Pini made of this inequality one the crucial tools in his construction of a . to the Dirichlet problem for the Heat equation. To this end, he also used an average operator on the level se
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The , and the Contributions of Bolognese Mathematicians,ts in Pavia, namely, the .. Yet the mathematical community of Bologna was in fact involved in this editorial enterprise and several of its authors, including E. Bortolotti, A. Comessatti, S. Pincherle, F. Sibirani, B. Segre and G. Vitali, together with its conceiver R. Bonola and one of its director
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The Role of Salvatore Pincherle in the Development of Fractional Calculus,n 1888 and 1902 in order to point out his possible role in the development of Fractional Calculus. Fractional Calculus is that branch of mathematical analysis dealing with pseudo-differential operators interpreted as integrals and derivatives of non-integer order. Even if the former contribution (pu
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Tullio Viola and his , in Bologna: Giuseppe Vitali, Leonida Tonelli and Beppo Levi,itali (1875–1932) and Leonida Tonelli (1885–1946) during his years as a student and just after graduation at the University of Bologna, in order to shed light on how they influenced his early research in analysis and his commitment to teaching. A transcription of Viola’s manuscript concerning his st
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,Developement of the Theory of Lie Groups in Bologna (1884–1900),r is to discuss an episode of this story which happened in Bologna. It is about the fruitful interactions between Tullio Levi-Civita, Salvatore Pincherle and Federigo Enriques, which finally led to the classification of infinite dimensional Lie groups acting on three dimensional space by Ugo Amaldi.
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Difference Equations in Spaces of Regular Functions: a tribute to Salvatore Pincherle,e discuss how this work can be rephrased in the context of modern functional analysis and we conclude by extending his results and we show that difference equations act surjectively on the space of quaternionic regular functions.
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The Work of Beniamino Segre on Curves and Their Moduli, especially in the years 1928/1930. Our purpose is to illustrate the relevance of his work to today’s research activity on the subject. We will take the opportunity to survey recent development on these areas of research.
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