Analyse. IV : applications à la théorie de la mesure / Laurent Schwartz

Auteur: Schwartz, Laurent (1915-2002) - AuteurAuteur secondaire : Zizi, Khelifa - CollaborateurType de document: MonographieCollection: Enseignement des sciences ; 45Langue: françaisPays: FranceÉditeur: Paris : Hermann, 1993Description: 1 vol. (444 p.) ; 24 cm ISBN: 9782705661861 ; br. Note: Contents: Chapter VI. Applications of Measure Theory: §1 Specific properties of Radon measures on the real axis; §2 Multiple integrals on ℝ n ; §3 Functions represented by series or integrals; §4 The convolution product on ℝ n ; §5 The Fourier transform; §6 The exterior algebra of a vector space; §7 Differential forms; §8 Orientation of real manifolds; §9 Integrating a differential form; §10 Stokes' formula; §11 Computing integrals using residues; §12 Eulerian functions and the Euler-McLaurin formulaBibliographie: Bibliogr. p. [445]. Index. Sujets MSC: 28-01 Measure and integration -- Instructional exposition (textbooks, tutorial papers, etc.)
43-01 Abstract harmonic analysis -- Instructional exposition (textbooks, tutorial papers, etc.)
44-01 Integral transforms, operational calculus -- Instructional exposition (textbooks, tutorial papers, etc.)
46-01 Functional analysis -- Instructional exposition (textbooks, tutorial papers, etc.)
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Contents: Chapter VI. Applications of Measure Theory: §1 Specific properties of Radon measures on the real axis; §2 Multiple integrals on ℝ n ; §3 Functions represented by series or integrals; §4 The convolution product on ℝ n ; §5 The Fourier transform; §6 The exterior algebra of a vector space; §7 Differential forms; §8 Orientation of real manifolds; §9 Integrating a differential form; §10 Stokes' formula; §11 Computing integrals using residues; §12 Eulerian functions and the Euler-McLaurin formula

Bibliogr. p. [445]. Index

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