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According to Wikipedia , Roger Godement was a French mathematician, known for his work in functional analysis as well as his expository books. Biography Godement started as a student at the École normale supérieure in 1940, where he became a student of Henri Cartan. He started research into harmonic analysis on locally compact abelian groups, finding a number of major results; this work was in parallel but independent of similar investigations in the USSR and Japan. Work on the abstract theory of spherical functionss published in 1952 proved very influential in subsequent work, particularly that of Harish-Chandra. The isolation of the concept of square-integrable representation is attributed to him. The Godement compactness criterion in the theory of arithmetic groups was a conjecture of his. He later worked with Jacquet on the zeta function of a simple algebra.
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1920 1930 1940 1950 1960 1970 1980 1990 2000 2010 2020 0 125 250 375 500 625 750 875 1000 1125 Published Works Topologie algébrique et théorie des faisceaux (1960) Zeta Functions of Simple Algebras (1972) Theory of spherical functions (1952) Les fonctions de type positif et la théorie des groupes (1948) Sur la Theorie des Representations Unitaires (1951) Cours d'algèbre (1963) Théorèmes taubériens et théorie spectrale (1947) Domaines fondamentaux des groupes arithmétiques (1964) (47)Introduction a la Th?eorie des Groupes de Lie (1982) (45)Théorie de la dualité et analyse harmonique dans les groupes abéliens localement compacts (1947) Introduction to the Theory of Lie Groups (2017) Introduction aux travaux de A. Selberg (1958) (37)Unitary Representations of Locally Compact Groups (2015) Theorie Des Caracteres II. Definition Et Properietes Generales Des Caracteres (1954) Introduction à la théorie de Langlands (1968) (18)Notes on Jacquet-Langlands' Theory (2020) (17)Fonctions holomorphes de carré sommable dans le demi-plan de Siegel (1958) (12)Groupes linéaires algébriques sur un corps parfait (1961) (11)Séries d' Eisenstein (1958) (9)Analyse spectrale des fonctions modulaires (1966) (9)La formule des traces de Selberg considérée comme source de problèmes mathématiques (1964) (8)Differential and integral calculus, Fourier series, holomorphic functions (2005) (6)Généralités sur les formes modulaires, II (1958) (6)Calcul différentiel et intégral, séries de Fourier, fonctions holomorphes (1998) (6)Cohomologie des groupes discontinus (1954) (4)Série de Poincaré et spitzenformen (1958) (4)Intégration et théorie spectrale, analyse harmonique, le jardin des délices modulaires (2003) (4)Les fonctions $\zeta$ des algèbres simples, II (1960) (3)Formes automorphes et produits euleriens (1971) Integration and spectral theory, harmonic analysis, the garden of modular delights (2015) (2)Analytic and differential functions, manifolds and Riemann surfaces (2015) (2)Évaluation d'une somme arithmétique. Remarques (1973) Théorie des caractères dans les groupes unimodulaires (1948) (1)Où l'on généralise une intégrale étudiée par C. L. Siegel, et généralisant la fonction $\Gamma$ (1958) (1)Quelques résultats nouveaux de Kostant sur les groupes semi-simples (1962) (1)Localités simples. II (1956) (1)Sommes continues d'espaces de Hilbert, I (1951) (1)Convergence, elementary functions (2004) (1)L p Spaces (2015) Sets and Functions (2004) The Dirichlet Series L(s; \mathcal{X}) (2015) Simply Connected Spaces and Groups (2017) Infinite Series and Products in Number Theory (2015) The Lie Algebra of a Lie Group (2017) Analytic Properties of Linear Groups (2017) Adeles et Ideles : cours à l'I.H.P., 1965-1966 (1981) (0)Measurable Sets and Functions (2015) Spectral Decomposition on a Hilbert Space (2015) The Upper Integral of a Positive Function (2015) The series \sum 1/ {\rm{cos}} \ \pi n z\; {\rm{and}}\; \sum {\rm{exp}} \left(\pi in^2z\right) (2015) Les travaux de E. Hecke, I (1951) (0)Représentations induites des groupes semi-simples (1956) (0)Topologies $m$-adiques (1956) (0)Les travaux de Hecke, II (1954) (0)Convergence, fonctions élémentaires (1998) (0)II. La transformation de Fourier dans le groupe complexe unimodulaire à deux variables (1948) (0)Propriétés analytiques des localités (1956) (0)Modular Functions: The Classical Theory (2015) The Riemann Surface of an Algebraic Function (2015) The Commutative Fourier Transform (2015) Convergence: Discrete variables (2004) The Exponential Map for Lie Groups (2017) Lebesgue-Fubini’s Way (2015) The Lebesgue-Nikodym Theorem (2015) Manifolds and Lie Groups (2017) SL 2 (ℝ) as a Lie Group (2015) Multivariate Differential and Integral Calculus (2015) Fonctions analytiques, différentielles et variétés, surfaces de Riemann (2002) (0)Convergence: Continuous variables (2004) Powers, Exponentials, Logarithms, Trigonometric Functions (2004) SL 2(ℝ) as a Locally Compact Group (2015) More Papers This paper list is powered by the following services:
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