Theory of distributions for locally compact spaces / Leon Ehrenpreis

Auteur principal : Ehrenpreis, Leon, 1930-2010, AuteurType de document : MonographieCollection : Memoirs of the American Mathematical Society, 21Langue : anglais.Pays: Etats Unis.Éditeur : Providence : American Mathematical Society, 1968Description : 1 vol. (80 p.) ; 26 cmISBN: 9780821812211.ISSN: 0065-9266.Bibliographie : Bibliogr. p. 80.Sujet MSC : 46-02, Research exposition (monographs, survey articles) pertaining to functional analysis Item type: Monographie
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This Memoir comprises the greater part of the author's Columbia University thesis, 1953. The author takes the point of view that the distribution theory of L. Schwartz is a study of the operators ∂/∂xi on Euclidean space and, guided by this idea, he proceeds to generalize distribution theory by replacing Euclidean space with a locally compact Hausdorff space R which is denumerable at infinity (σ-compact) and the operators ∂/∂xi with a countable family of local, closed operators that operate on a certain class of functions on R. A surprising amount of distribution theory is carried over to this general setting. (MathSciNet)

Bibliogr. p. 80

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