Introduction to Hilbert Spaces with Applications

Updated edition presents readers with the basic ideas and results of Hilbert space theory and functional analysis

Offering an overview of the basic ideas and results of Hilbert space theory and functional analysis, this book aims to acquaint students with the Lebesgue integral. It also includes a presentation of results and proofs. It features examples which apply to optimization, variational and control problems, and problems in approximation theory.Building on the success of the two previous editions, Introduction to Hilbert Spaces with Applications, Third Edition, offers an overview of the basic ideas and results of Hilbert space theory and functional analysis. It acquaints students with the Lebesgue integral, and includes an enhanced presentation of results and proofs. Students and researchers will benefit from the wealth of revised examples in new, diverse applications as they apply to optimization, variational and control problems, and problems in approximation theory, nonlinear instability, and bifurcation. The text also includes a popular chapter on wavelets that has been completely updated. Students and researchers agree that this is the definitive text on Hilbert Space theory.