Topological Vector Spaces, Distributions and Kernels
Title | Topological Vector Spaces, Distributions and Kernels PDF eBook |
Author | François Treves |
Publisher | Elsevier |
Pages | 582 |
Release | 2016-06-03 |
Genre | Mathematics |
ISBN | 1483223620 |
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, Distributions and Kernels
Title | Topological Vector Spaces, Distributions and Kernels PDF eBook |
Author | |
Publisher | Academic Press |
Pages | 583 |
Release | 1967-01-01 |
Genre | Mathematics |
ISBN | 0080873375 |
Topological Vector Spaces, Distributions and Kernels
Topological Vector Spaces, Distributions and Kernels
Title | Topological Vector Spaces, Distributions and Kernels PDF eBook |
Author | |
Publisher | |
Pages | 565 |
Release | 2006 |
Genre | |
ISBN |
Topological Vector Spaces, Distributions and Kernels
Title | Topological Vector Spaces, Distributions and Kernels PDF eBook |
Author | François Trèves |
Publisher | |
Pages | 565 |
Release | 1973 |
Genre | |
ISBN |
Topological Vector Spaces, Distributions and Kernels
Title | Topological Vector Spaces, Distributions and Kernels PDF eBook |
Author | Francois Treves |
Publisher | |
Pages | 565 |
Release | 1967 |
Genre | Analyse fonctionnelle |
ISBN |
Topological Vector Spaces and Distributions
Title | Topological Vector Spaces and Distributions PDF eBook |
Author | John Horvath |
Publisher | Courier Corporation |
Pages | 466 |
Release | 2013-10-03 |
Genre | Mathematics |
ISBN | 0486311031 |
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.
Topological Vector Spaces, Distributions and Kernels /Francois, Treves
Title | Topological Vector Spaces, Distributions and Kernels /Francois, Treves PDF eBook |
Author | Francois Treves |
Publisher | |
Pages | 0 |
Release | 1967 |
Genre | Functional analysis |
ISBN |