Title: Topological Vector Spaces, Distributions and Kernels (Dover Books on Mathematics)
Publisher: Dover Publications
Publication Date: 2006
Language: English
ISBN 10: 0486453529
ISBN 13: 9780486453521
Binding: Soft cover
Condition: new

About this title

Synopsis

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.

About the Author

Francois Treves is Professor Emeritus in the Department of Mathematics at Rutgers University.

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