Subharmonic Functions

✍ Scribed by W. K. Hayman, P. M. Cohn and B. E. Johnson (Auth.)

• Publisher: Elsevier Ltd, Academic Press
• Year: 1990
• Tongue: English
• Leaves: 608
• Series: London Mathematical Society Monographs
• Category: Library

✦ Synopsis

Building on the foundation laid in the first volume of Subharmonic Functions, which has become a classic, this second volume deals extensively with applications to functions of a complex variable. The material also has applications in differential equations and differential equations and differential geometry. It reflects the increasingly important role that subharmonic functions play in these areas of mathematics. The presentation goes back to the pioneering work of Ahlfors, Heins, and Kjellberg, leading to and including the more recent results of Baernstein, Weitsman, and many others. The volume also includes some previously unpublished material. It addresses mathematicians from graduate students to researchers in the field and will also appeal to physicists and electrical engineers who use these tools in their research work. The extensive preface and introductions to each chapter give readers an overview. A series of examples helps readers test their understatnding of the theory and the master the applications

✦ Table of Contents

Content:
L.M.S. MONOGRAPHS, Page ii
Front Matter, Page iii
Copyright, Page iv
Preface to Volume 2, Pages v-xiv
Acknowledgements, Page xv
Dedication, Page xvi
Contents of Volume 1, Pages xxiii-xxv
CHAPTER 6 - Maximum and Minimum of Functions Subharmonic in the Plane, Pages 285-386
CHAPTER 7 - Exceptional Sets, Pages 387-530
CHAPTER 8 - Tracts and Asymptotic Values of Plane Subharmonic Functions, Pages 531-643
CHAPTER 9 - Baernstein's Star Function and its Applications, Pages 645-750
CHAPTER 10 - Examples of Subharmonic and Regular Functions, and the MacLane-Hornblower Class, Pages 751-864
References, Pages 865-872
Index, Pages 873-875