Topological Vector Spaces, Distributions And Kernels (Dover Books on Mathematics) - Softcover

Treves, Francois

 
9780486453521: Topological Vector Spaces, Distributions And Kernels (Dover Books on Mathematics)

Inhaltsangabe

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.

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Über die Autorin bzw. den Autor

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

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Weitere beliebte Ausgaben desselben Titels

9781483210193: Topological Vector Spaces, Distributions and Kernels: Pure and Applied Mathematics, Vol. 25

Vorgestellte Ausgabe

ISBN 10:  1483210197 ISBN 13:  9781483210193
Verlag: Academic Press, 2016
Softcover