Analysis II: Differential and Integral Calculus, Fourier Series, Holomorphic Functions - Couverture souple

Livre 31 sur 261: Universitext

Godement, Roger

 
9783540209218: Analysis II: Differential and Integral Calculus, Fourier Series, Holomorphic Functions
Couverture souple
ISBN 10 : 3540209212 ISBN 13 : 9783540209218
Editeur : Springer Berlin Heidelberg, 2010

Synopsis

The main topic of these two English-language volumes are Functions in R and C, including the theory of Fourier series, Fourier integrals and part of holomorphic functions. Based on a course given by the author, the exposition proceeds somewhat nonlinearly, blending rigorous mathematics skilfully with didactical and historical considerations. It sets out to illustrate the variety of possible approaches to the main results, in order to initiate the reader to methods, the underlying reasoning, and fundamental ideas. It is suitable for both teaching and self-study. The French edition in four volumes, published from 1998, has met with resounding success.

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À propos de l'auteur

Roger Godement (October 1, 1921 - July 21, 2016) is known for his work in functional analysis, and also his expository books. He 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 functions 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. He was an active member of the Bourbaki group in the early 1950s, and subsequently gave a number of significant Bourbaki seminars. He also took part in the Cartan seminar. He also wrote texts on Lie groups, abstract algebra and mathematical analysis.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer Berlin Heidelberg
Date d'édition
2010
Langue
anglais
ISBN 10 
3540209212
ISBN 13 
9783540209218
Reliure
Broché
Nombre de pages
460
Coordonnées du fabricant
non disponible
Personne responsable
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Couverture souple