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.
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Descrizione libro Academic Press, 1967. Condizione libro: Fair. First Edition. Former Library book. Shows definite wear, and perhaps considerable marking on inside. Codice libro della libreria GRP96559704
Descrizione libro Academic Press, 1967. Condizione libro: Good. First Edition. Ships from the UK. Former Library book. Shows some signs of wear, and may have some markings on the inside. Codice libro della libreria GRP83366149
Descrizione libro Academic Press, 2008. Hardcover. Condizione libro: Good. First Edition. Ships with Tracking Number! INTERNATIONAL WORLDWIDE Shipping available. May not contain Access Codes or Supplements. Buy with confidence, excellent customer service!. Codice libro della libreria 0126994501