Téléchargez le livre : Topological Vector Spaces, Distributions and Kernels

Topological Vector Spaces, Distributions and Kernels

Pure and Applied Mathematics, Vol. 25 de

Éditeur :

Academic Press


Paru le : 2016-06-03

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Description
Topological Vector Spaces, Distributions and Kernels discusses partial differential equations involving spaces of functions and space distributions. The book reviews the definitions of a vector space, of a topological space, and of the completion of a topological vector space. The text gives examples of Frechet spaces, Normable spaces, Banach spaces, or Hilbert spaces. The theory of Hilbert space is similar to finite dimensional Euclidean spaces in which they are complete and carry an inner product that can determine their properties. The text also explains the Hahn-Banach theorem, as well as the applications of the Banach-Steinhaus theorem and the Hilbert spaces. The book discusses topologies compatible with a duality, the theorem of Mackey, and reflexivity. The text describes nuclear spaces, the Kernels theorem and the nuclear operators in Hilbert spaces. Kernels and topological tensor products theory can be applied to linear partial differential equations where kernels, in this connection, as inverses (or as approximations of inverses), of differential operators. The book is suitable for vector mathematicians, for students in advanced mathematics and physics.
Pages
582 pages
Collection
n.c
Parution
2016-06-03
Marque
Academic Press
EAN papier
9781483198590
EAN PDF SANS DRM
9781483223629
Informations sur l'ebook
Prix
74,85 €

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