Introduction to Hilbert Spaces with Applications

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

Lokenath Debnath (Author), Piotr Mikusinski (Author)

9780122084386, Elsevier Science

Hardback, published 8 November 2005

600 pages
22.9 x 15.1 x 3.3 cm, 1.05 kg

"...this is a very useful and good book and it can find a place in the library of anybody interested in functional analysis, particularly Hilbert Spaces and their applications." --MAA REVIEWS

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.

CHAPTER 1 Normed Vector Spaces
CHAPTER 2 The Lebesgue Integral
CHAPTER 3 Hilbert Spaces and Orthonormal Systems
CHAPTER 4 Linear Operators on Hilbert Spaces
CHAPTER 5 Applications to Integral and Differential Equations
CHAPTER 6 Generalized Functions and Partial Differential Equations
CHAPTER 7 Mathematical Foundations of Quantum Mechanics
CHAPTER 8 Wavelets and Wavelet Transforms
CHAPTER 9 Optimization Problems and Other Miscellaneous Applications

Subject Areas: Maths for engineers [TBJ], Technology: general issues [TB], Mathematical modelling [PBWH], Applied mathematics [PBW], Functional analysis & transforms [PBKF], Mathematics [PB], Sport & leisure industries [KNSP]