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Topological Vector Spaces, Distributions and Kernels by Francois Treves is a nonfiction available to read on EtoBox.

What is Topological Vector Spaces, Distributions and Kernels about?

This text for upper-level undergraduates and graduate students focuses on key notions and results in functional analysis. Extending beyond the boundaries of Hilbert and Banach space theory, it explores aspects of analysis relevant to the solution of partial differential equations.The three-part treatment begins with topological vector spaces and spaces of functions, progressing to duality and spaces of distribution, and concluding with tensor products and kernels. The archetypes of linear partial differential equations (Laplace's, the wave, and the heat equations) and the traditional problems (Dirichlet's and Cauchy's) are this volume's main focus. Most of the basic classical results appear here. There are 390 exercises, several of which contain detailed information that will enable readers to reconstruct the proofs of some important results.

Who reads Topological Vector Spaces, Distributions and Kernels?

Author

Francois Treves

Publisher

Academic Press, Incorporated

Published

1970

Language

EN

ISBN

9781281767639

Category

nonfiction

Subjects

Mathematics, Stem