An Introduction to Hankel Operators

Hankel operators are of wide application in mathematics and engineering and this account of them is both elementary and rigorous.

Jonathan R. Partington (Author)

9780521367912, Cambridge University Press

Paperback, published 24 February 1989

112 pages
23.6 x 15.7 x 1.2 cm, 0.29 kg

Hankel operators are of wide application in mathematics (functional analysis, operator theory, approximation theory) and engineering (control theory, systems analysis) and this account of them is both elementary and rigorous. The book is based on graduate lectures given to an audience of mathematicians and control engineers, but to make it reasonably self-contained, the author has included several appendices on mathematical topics unlikely to be met by undergraduate engineers. The main prerequisites are basic complex analysis and some functional analysis, but the presentation is kept straightforward, avoiding unnecessary technicalities so that the fundamental results and their applications are evident. Some 45 exercises are included.

Introduction
1. Compact operators on a hilbert space
2. Hardy spaces
3. Basic properties of hankel operators
4. Hankel operators on the half plane
5. Linear systems and H?
6. Hankel-norm approximation
7. Special classes of hankel operator
Appendix
Exercises
Bibliography
Index.

Subject Areas: Probability & statistics [PBT]