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Description

This book presents a simple and novel theory of integration, both real and vectorial, particularly suitable for the study of PDEs. This theory allows for integration with values in a Neumann space E, i.e. in which all Cauchy sequences converge, encompassing Neumann and Fréchet spaces, as well as "weak" spaces and distribution spaces.
We integrate "integrable measures", which are equivalent to "classes of integrable functions which are a.e. equals" when E is a Fréchet space. More precisely, we associate the measure f with a class f, where f(u) is the integral of fu for any test function u. The classic space Lp(O;E) is the set of f, and ours is the set of f; these two spaces are isomorphic.
Integration studies, in detail, for any Neumann space E, the properties of the integral and of Lp(O;E): regularization, image by a linear or multilinear application, change of variable, separation of multiple variables, compacts and duals. When E is a Fréchet space, we study the equivalence of the two definitions and the properties related to dominated convergence.
Pages
448 pages
Collection
n.c
Parution
2026-01-07
Marque
Wiley-ISTE
EAN papier
9781786300133
EAN PDF
9781394434893
Informations sur l'ebook
Nombre pages copiables
0
Nombre pages imprimables
448
Taille du fichier
5233 Ko
Ce livre est accessible aux handicaps Voir les informations sur l'accessibilité
Prix
167,11 €
EAN EPUB
9781394434909
Informations sur l'ebook
Nombre pages copiables
0
Nombre pages imprimables
448
Taille du fichier
11960 Ko
Ce livre est accessible aux handicaps Voir les informations sur l'accessibilité
Prix
167,11 €

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