Topological Vector Spaces, Distributions and Kernels

 
9780126994506: Topological Vector Spaces, Distributions and Kernels

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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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. It features basic classical results, plus 390 exercises. 1967 edition.

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Francois Treves
Published by Academic Press (1967)
ISBN 10: 0126994501 ISBN 13: 9780126994506
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Book Description Academic Press, 1967. Hardcover. Book Condition: New. First Edition. Bookseller Inventory # DADAX0126994501

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