Hilbert Spaces with Applications

Building on the success of the two previous editions, "Introduction to Hilbert Spaces with Applications, 3E" 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, non-linear 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. It contains an updated chapter on wavelets; provides an improved presentation on results and proof; contains revised examples and updated applications; and features a completely updated list of references.