Bounded Analytic Functions By John B. Garnett
English | PDF | 2007 | 471 Pages | ISBN : 0387336214 | 4.6 MB
The book, which covers a wide range of beautiful topics in analysis, is extremely well organized and well written, with elegant, detailed proofs. The book has educated a whole generation of mathematicians with backgrounds in complex analysis and function algebras.

It has had a great impact on the early careers of many leading analysts and has been widely adopted as a textbook for graduate courses and learning seminars in both the US and abroad.
- From the Citation for the 2003 Leroy P. Steele Prize for Exposition
The author has not attempted to produce a compendium. Rather, he has selected a range of topics in a many-faceted theory and, within that range, penetrated to considerable depththe author has succeeded in bringing out the beauty of a theory which, despite its relatively advanced age--now approaching 80 years--continues to surprise and to delight its practitioners. The author has left his mark on the subject.