Functional Analysis

Nino Boccara

ISBN 0121088103
Pages 327

Description
Based on a third-year course for French students of physics, this book is a graduate text in functional analysis emphasizing applications to physics. It introduces Lebesgue integration, Fourier and Laplace transforms, Hilbert space theory, theory of distribution a la Laurent Schwartz, linear operators, and spectral theory. It contains numerous examples and completely worked out exercises.

Contents
Measure and Integration. Lebesgue Spaces. Hilbert Spaces. Distributions. Linear Operators. References. Index.