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Topological Vector Spaces And Distributions

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Topological Vector Spaces Distributions And Kernels

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Author :
language : en
Publisher: Academic Press
Release Date : 1967-01-01

Topological Vector Spaces Distributions And Kernels written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967-01-01 with Mathematics categories.

Topological Vector Spaces, Distributions and Kernels

Topological Vector Spaces Distributions And Kernels

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Author : François Treves
language : en
Publisher: Elsevier
Release Date : 2016-06-03

Topological Vector Spaces Distributions And Kernels written by François Treves and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-03 with Mathematics categories.

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.

Topological Vector Spaces And Distributions

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Author : John Horvath
language : en
Publisher: Courier Corporation
Release Date : 2013-10-03

Topological Vector Spaces And Distributions written by John Horvath and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-03 with Mathematics categories.

Precise exposition provides an excellent summary of the modern theory of locally convex spaces and develops the theory of distributions in terms of convolutions, tensor products, and Fourier transforms. 1966 edition.