Functional Analysis

By
Nino Boccara, University of Illinois at Chicago, Laboratoire de Mathematique, Ecole de Physique et de Chimie, Paris France

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.

Audience:
Graduate and upper undergraduate students in mathematics and physics.