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Elements of Functional Analysis /

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This is a graduate text on functional analysis. After presenting the fundamental function spaces and their duals, the authors study topics in operator theory and finally develop the theory of distributions up to significant applications such as Sobolev spaces and Dirichlet problems. Along the way, t...

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Bibliographic Details
Main Author: Hirsch, Francis
Corporate Author: SpringerLink (Online service)
Other Authors: Lacombe, Gilles
Format: eBook
Language:English
Published: New York, NY : Springer New York : Imprint : Springer, 1999.
Series:Graduate texts in mathematics ; 192.
Subjects:
Mathematics.
Global analysis (Mathematics)
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • I. Function Spaces and Their Duals: The Space of Continous Functions on a Compact Set
  • Locally Compact Spaces and Radon Measures
  • Hilbert Spaces
  • Lp Spaces; II. Operators: Spectra
  • Compact Operators; III. Distributions: Definitions and Examples
  • Multiplication and Differentiation
  • Convolution of Distributions
  • The Laplacian on an Open Set.