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.
Graduate and upper undergraduate students in mathematics and physics.
Table of Contents
Measure and Integration. Lebesgue Spaces. Hilbert Spaces. Distributions. Linear Operators. References. Index.