Introduction to Hilbert Spaces with Applications, Second Edition

by Lokenath Debnath (Editor), Piotr (Ed.) Mikusinski, Piotr Mikusinski

Continuing on the success of the previous edition, Introduction to Hilbert Spaces with Applications, Second Edition , offers an overview of the basic ideas and results of Hilbert space theory and functional analysis. It acquaints students with the Lebesque integral, and includes an enhanced presentation of results and proofs. Students and researchers 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 new, well-researched chapter on wavelets. Students and researchers agree that this is the definitive text on Hilbert Space theory.


* Systematic exposition of the basic ideas and results of Hilbert space theory
* Introduction to the Lebesgue integral
* New chapter on wavelets
* Improved presentation on results and proof
* Revised examples and updated applications
* Completely updated list of references

Genres: Mathematics

551 pages, Hardcover

First published October 29, 1997

Reviews

[HikBook]

Chapter 5.
Theorem 5.11.21. (General Parseval’s relation) If f,g in L^2(R) then
int_R fconjugate(g)=int_R fourier(f) conjugate(fourier(g))